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Finding the Third Proportional to 1,569,169 and 3,402,344

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Solution

The third proportional to 1,569,169 and 3,402,344 is: 7,377,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,169 : 3,402,344 = 3,402,344 : x
  2. Step 2: Convert to fraction form
    1,569,169/3,402,344 = 3,402,344/x
  3. Step 3: Cross multiply
    1,569,169x = 3,402,344 × 3,402,344
  4. Step 4: Simplify right side
    1,569,169x = 11,575,944,694,336
  5. Step 5: Solve for x
    x = 11,575,944,694,336/1,569,169
  6. Step 6: Final answer
    x = 7,377,117.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.