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Finding the Third Proportional to 767,574 and 1,214,541

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Solution

The third proportional to 767,574 and 1,214,541 is: 1,921,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,574 : 1,214,541 = 1,214,541 : x
  2. Step 2: Convert to fraction form
    767,574/1,214,541 = 1,214,541/x
  3. Step 3: Cross multiply
    767,574x = 1,214,541 × 1,214,541
  4. Step 4: Simplify right side
    767,574x = 1,475,109,840,681
  5. Step 5: Solve for x
    x = 1,475,109,840,681/767,574
  6. Step 6: Final answer
    x = 1,921,781.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.