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Finding the Third Proportional to 1,092,950,840 and 1,598,435,666

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Solution

The third proportional to 1,092,950,840 and 1,598,435,666 is: 2,337,704,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,950,840 : 1,598,435,666 = 1,598,435,666 : x
  2. Step 2: Convert to fraction form
    1,092,950,840/1,598,435,666 = 1,598,435,666/x
  3. Step 3: Cross multiply
    1,092,950,840x = 1,598,435,666 × 1,598,435,666
  4. Step 4: Simplify right side
    1,092,950,840x = 2,554,996,578,340,863,488
  5. Step 5: Solve for x
    x = 2,554,996,578,340,863,488/1,092,950,840
  6. Step 6: Final answer
    x = 2,337,704,940.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.