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Finding the Third Proportional to 616,272 and 1,292,160

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Solution

The third proportional to 616,272 and 1,292,160 is: 2,709,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,272 : 1,292,160 = 1,292,160 : x
  2. Step 2: Convert to fraction form
    616,272/1,292,160 = 1,292,160/x
  3. Step 3: Cross multiply
    616,272x = 1,292,160 × 1,292,160
  4. Step 4: Simplify right side
    616,272x = 1,669,677,465,600
  5. Step 5: Solve for x
    x = 1,669,677,465,600/616,272
  6. Step 6: Final answer
    x = 2,709,319.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.