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Finding the Third Proportional to 714,645 and 1,569,272

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Solution

The third proportional to 714,645 and 1,569,272 is: 3,445,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,645 : 1,569,272 = 1,569,272 : x
  2. Step 2: Convert to fraction form
    714,645/1,569,272 = 1,569,272/x
  3. Step 3: Cross multiply
    714,645x = 1,569,272 × 1,569,272
  4. Step 4: Simplify right side
    714,645x = 2,462,614,609,984
  5. Step 5: Solve for x
    x = 2,462,614,609,984/714,645
  6. Step 6: Final answer
    x = 3,445,927.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.