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Finding the Third Proportional to 947,528 and 1,406,860

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Solution

The third proportional to 947,528 and 1,406,860 is: 2,088,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,528 : 1,406,860 = 1,406,860 : x
  2. Step 2: Convert to fraction form
    947,528/1,406,860 = 1,406,860/x
  3. Step 3: Cross multiply
    947,528x = 1,406,860 × 1,406,860
  4. Step 4: Simplify right side
    947,528x = 1,979,255,059,600
  5. Step 5: Solve for x
    x = 1,979,255,059,600/947,528
  6. Step 6: Final answer
    x = 2,088,861.82

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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.