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Finding the Third Proportional to 1,046,634 and 1,660,023

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Solution

The third proportional to 1,046,634 and 1,660,023 is: 2,632,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,634 : 1,660,023 = 1,660,023 : x
  2. Step 2: Convert to fraction form
    1,046,634/1,660,023 = 1,660,023/x
  3. Step 3: Cross multiply
    1,046,634x = 1,660,023 × 1,660,023
  4. Step 4: Simplify right side
    1,046,634x = 2,755,676,360,529
  5. Step 5: Solve for x
    x = 2,755,676,360,529/1,046,634
  6. Step 6: Final answer
    x = 2,632,893.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.