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Finding the Third Proportional to 738,924 and 1,595,730

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Solution

The third proportional to 738,924 and 1,595,730 is: 3,446,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,924 : 1,595,730 = 1,595,730 : x
  2. Step 2: Convert to fraction form
    738,924/1,595,730 = 1,595,730/x
  3. Step 3: Cross multiply
    738,924x = 1,595,730 × 1,595,730
  4. Step 4: Simplify right side
    738,924x = 2,546,354,232,900
  5. Step 5: Solve for x
    x = 2,546,354,232,900/738,924
  6. Step 6: Final answer
    x = 3,446,029.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.