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Finding the Third Proportional to 832,324 and 1,248,594

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Solution

The third proportional to 832,324 and 1,248,594 is: 1,873,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,324 : 1,248,594 = 1,248,594 : x
  2. Step 2: Convert to fraction form
    832,324/1,248,594 = 1,248,594/x
  3. Step 3: Cross multiply
    832,324x = 1,248,594 × 1,248,594
  4. Step 4: Simplify right side
    832,324x = 1,558,986,976,836
  5. Step 5: Solve for x
    x = 1,558,986,976,836/832,324
  6. Step 6: Final answer
    x = 1,873,053.01

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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.