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Finding the Third Proportional to 664,597 and 1,457,862

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Solution

The third proportional to 664,597 and 1,457,862 is: 3,197,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,597 : 1,457,862 = 1,457,862 : x
  2. Step 2: Convert to fraction form
    664,597/1,457,862 = 1,457,862/x
  3. Step 3: Cross multiply
    664,597x = 1,457,862 × 1,457,862
  4. Step 4: Simplify right side
    664,597x = 2,125,361,611,044
  5. Step 5: Solve for x
    x = 2,125,361,611,044/664,597
  6. Step 6: Final answer
    x = 3,197,970.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.