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Finding the Third Proportional to 714,604 and 1,569,169

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Solution

The third proportional to 714,604 and 1,569,169 is: 3,445,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,604 : 1,569,169 = 1,569,169 : x
  2. Step 2: Convert to fraction form
    714,604/1,569,169 = 1,569,169/x
  3. Step 3: Cross multiply
    714,604x = 1,569,169 × 1,569,169
  4. Step 4: Simplify right side
    714,604x = 2,462,291,350,561
  5. Step 5: Solve for x
    x = 2,462,291,350,561/714,604
  6. Step 6: Final answer
    x = 3,445,672.50

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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.