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Finding the Third Proportional to 4,209,906 and 5,865,459

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Solution

The third proportional to 4,209,906 and 5,865,459 is: 8,172,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209,906 : 5,865,459 = 5,865,459 : x
  2. Step 2: Convert to fraction form
    4,209,906/5,865,459 = 5,865,459/x
  3. Step 3: Cross multiply
    4,209,906x = 5,865,459 × 5,865,459
  4. Step 4: Simplify right side
    4,209,906x = 34,403,609,280,681
  5. Step 5: Solve for x
    x = 34,403,609,280,681/4,209,906
  6. Step 6: Final answer
    x = 8,172,061.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.