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Finding the Third Proportional to 614,599 and 1,341,272

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Solution

The third proportional to 614,599 and 1,341,272 is: 2,927,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,599 : 1,341,272 = 1,341,272 : x
  2. Step 2: Convert to fraction form
    614,599/1,341,272 = 1,341,272/x
  3. Step 3: Cross multiply
    614,599x = 1,341,272 × 1,341,272
  4. Step 4: Simplify right side
    614,599x = 1,799,010,577,984
  5. Step 5: Solve for x
    x = 1,799,010,577,984/614,599
  6. Step 6: Final answer
    x = 2,927,129.04

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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.