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Finding the Third Proportional to 3,227,931 and 4,513,384.13

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Solution

The third proportional to 3,227,931 and 4,513,384.13 is: 6,310,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227,931 : 4,513,384.13 = 4,513,384.13 : x
  2. Step 2: Convert to fraction form
    3,227,931/4,513,384.13 = 4,513,384.13/x
  3. Step 3: Cross multiply
    3,227,931x = 4,513,384.13 × 4,513,384.13
  4. Step 4: Simplify right side
    3,227,931x = 20,370,636,259,802.02
  5. Step 5: Solve for x
    x = 20,370,636,259,802.02/3,227,931
  6. Step 6: Final answer
    x = 6,310,740.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.