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Finding the Third Proportional to 3,676,320 and 5,386,320

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Solution

The third proportional to 3,676,320 and 5,386,320 is: 7,891,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676,320 : 5,386,320 = 5,386,320 : x
  2. Step 2: Convert to fraction form
    3,676,320/5,386,320 = 5,386,320/x
  3. Step 3: Cross multiply
    3,676,320x = 5,386,320 × 5,386,320
  4. Step 4: Simplify right side
    3,676,320x = 29,012,443,142,400
  5. Step 5: Solve for x
    x = 29,012,443,142,400/3,676,320
  6. Step 6: Final answer
    x = 7,891,707.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.