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Finding the Third Proportional to 784,758 and 1,243,473

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Solution

The third proportional to 784,758 and 1,243,473 is: 1,970,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,758 : 1,243,473 = 1,243,473 : x
  2. Step 2: Convert to fraction form
    784,758/1,243,473 = 1,243,473/x
  3. Step 3: Cross multiply
    784,758x = 1,243,473 × 1,243,473
  4. Step 4: Simplify right side
    784,758x = 1,546,225,101,729
  5. Step 5: Solve for x
    x = 1,546,225,101,729/784,758
  6. Step 6: Final answer
    x = 1,970,320.92

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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.