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Finding the Third Proportional to 814,160 and 1,740,363

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Solution

The third proportional to 814,160 and 1,740,363 is: 3,720,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,160 : 1,740,363 = 1,740,363 : x
  2. Step 2: Convert to fraction form
    814,160/1,740,363 = 1,740,363/x
  3. Step 3: Cross multiply
    814,160x = 1,740,363 × 1,740,363
  4. Step 4: Simplify right side
    814,160x = 3,028,863,371,769
  5. Step 5: Solve for x
    x = 3,028,863,371,769/814,160
  6. Step 6: Final answer
    x = 3,720,231.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.