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Finding the Third Proportional to 615,513 and 920,810

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Solution

The third proportional to 615,513 and 920,810 is: 1,377,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,513 : 920,810 = 920,810 : x
  2. Step 2: Convert to fraction form
    615,513/920,810 = 920,810/x
  3. Step 3: Cross multiply
    615,513x = 920,810 × 920,810
  4. Step 4: Simplify right side
    615,513x = 847,891,056,100
  5. Step 5: Solve for x
    x = 847,891,056,100/615,513
  6. Step 6: Final answer
    x = 1,377,535.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.