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Finding the Third Proportional to 832,554 and 1,248,948

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Solution

The third proportional to 832,554 and 1,248,948 is: 1,873,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,554 : 1,248,948 = 1,248,948 : x
  2. Step 2: Convert to fraction form
    832,554/1,248,948 = 1,248,948/x
  3. Step 3: Cross multiply
    832,554x = 1,248,948 × 1,248,948
  4. Step 4: Simplify right side
    832,554x = 1,559,871,106,704
  5. Step 5: Solve for x
    x = 1,559,871,106,704/832,554
  6. Step 6: Final answer
    x = 1,873,597.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.