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Finding the Third Proportional to 2,971,732 and 4,464,294

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Solution

The third proportional to 2,971,732 and 4,464,294 is: 6,706,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971,732 : 4,464,294 = 4,464,294 : x
  2. Step 2: Convert to fraction form
    2,971,732/4,464,294 = 4,464,294/x
  3. Step 3: Cross multiply
    2,971,732x = 4,464,294 × 4,464,294
  4. Step 4: Simplify right side
    2,971,732x = 19,929,920,918,436
  5. Step 5: Solve for x
    x = 19,929,920,918,436/2,971,732
  6. Step 6: Final answer
    x = 6,706,500.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.