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Finding the Third Proportional to 737,160 and 1,607,712

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Solution

The third proportional to 737,160 and 1,607,712 is: 3,506,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,160 : 1,607,712 = 1,607,712 : x
  2. Step 2: Convert to fraction form
    737,160/1,607,712 = 1,607,712/x
  3. Step 3: Cross multiply
    737,160x = 1,607,712 × 1,607,712
  4. Step 4: Simplify right side
    737,160x = 2,584,737,874,944
  5. Step 5: Solve for x
    x = 2,584,737,874,944/737,160
  6. Step 6: Final answer
    x = 3,506,345.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.