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Finding the Third Proportional to 947,524 and 1,406,854

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Solution

The third proportional to 947,524 and 1,406,854 is: 2,088,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,524 : 1,406,854 = 1,406,854 : x
  2. Step 2: Convert to fraction form
    947,524/1,406,854 = 1,406,854/x
  3. Step 3: Cross multiply
    947,524x = 1,406,854 × 1,406,854
  4. Step 4: Simplify right side
    947,524x = 1,979,238,177,316
  5. Step 5: Solve for x
    x = 1,979,238,177,316/947,524
  6. Step 6: Final answer
    x = 2,088,852.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.