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Finding the Third Proportional to 786,542 and 1,214,584

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Solution

The third proportional to 786,542 and 1,214,584 is: 1,875,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,542 : 1,214,584 = 1,214,584 : x
  2. Step 2: Convert to fraction form
    786,542/1,214,584 = 1,214,584/x
  3. Step 3: Cross multiply
    786,542x = 1,214,584 × 1,214,584
  4. Step 4: Simplify right side
    786,542x = 1,475,214,293,056
  5. Step 5: Solve for x
    x = 1,475,214,293,056/786,542
  6. Step 6: Final answer
    x = 1,875,569.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.