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Finding the Third Proportional to 1,688,769 and 2,488,482

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Solution

The third proportional to 1,688,769 and 2,488,482 is: 3,666,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,769 : 2,488,482 = 2,488,482 : x
  2. Step 2: Convert to fraction form
    1,688,769/2,488,482 = 2,488,482/x
  3. Step 3: Cross multiply
    1,688,769x = 2,488,482 × 2,488,482
  4. Step 4: Simplify right side
    1,688,769x = 6,192,542,664,324
  5. Step 5: Solve for x
    x = 6,192,542,664,324/1,688,769
  6. Step 6: Final answer
    x = 3,666,897.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.