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Finding the Third Proportional to 912,533 and 1,420,374

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Solution

The third proportional to 912,533 and 1,420,374 is: 2,210,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,533 : 1,420,374 = 1,420,374 : x
  2. Step 2: Convert to fraction form
    912,533/1,420,374 = 1,420,374/x
  3. Step 3: Cross multiply
    912,533x = 1,420,374 × 1,420,374
  4. Step 4: Simplify right side
    912,533x = 2,017,462,299,876
  5. Step 5: Solve for x
    x = 2,017,462,299,876/912,533
  6. Step 6: Final answer
    x = 2,210,837.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.