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Finding the Third Proportional to 4,561,740 and 6,377,581

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Solution

The third proportional to 4,561,740 and 6,377,581 is: 8,916,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561,740 : 6,377,581 = 6,377,581 : x
  2. Step 2: Convert to fraction form
    4,561,740/6,377,581 = 6,377,581/x
  3. Step 3: Cross multiply
    4,561,740x = 6,377,581 × 6,377,581
  4. Step 4: Simplify right side
    4,561,740x = 40,673,539,411,561
  5. Step 5: Solve for x
    x = 40,673,539,411,561/4,561,740
  6. Step 6: Final answer
    x = 8,916,233.59

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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.