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Finding the Third Proportional to 748,441 and 1,172,730

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Solution

The third proportional to 748,441 and 1,172,730 is: 1,837,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,441 : 1,172,730 = 1,172,730 : x
  2. Step 2: Convert to fraction form
    748,441/1,172,730 = 1,172,730/x
  3. Step 3: Cross multiply
    748,441x = 1,172,730 × 1,172,730
  4. Step 4: Simplify right side
    748,441x = 1,375,295,652,900
  5. Step 5: Solve for x
    x = 1,375,295,652,900/748,441
  6. Step 6: Final answer
    x = 1,837,547.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.