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Finding the Third Proportional to 832,524 and 1,239,570

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Solution

The third proportional to 832,524 and 1,239,570 is: 1,845,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,524 : 1,239,570 = 1,239,570 : x
  2. Step 2: Convert to fraction form
    832,524/1,239,570 = 1,239,570/x
  3. Step 3: Cross multiply
    832,524x = 1,239,570 × 1,239,570
  4. Step 4: Simplify right side
    832,524x = 1,536,533,784,900
  5. Step 5: Solve for x
    x = 1,536,533,784,900/832,524
  6. Step 6: Final answer
    x = 1,845,633.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.