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Finding the Third Proportional to 654,099 and 1,402,785

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Solution

The third proportional to 654,099 and 1,402,785 is: 3,008,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,099 : 1,402,785 = 1,402,785 : x
  2. Step 2: Convert to fraction form
    654,099/1,402,785 = 1,402,785/x
  3. Step 3: Cross multiply
    654,099x = 1,402,785 × 1,402,785
  4. Step 4: Simplify right side
    654,099x = 1,967,805,756,225
  5. Step 5: Solve for x
    x = 1,967,805,756,225/654,099
  6. Step 6: Final answer
    x = 3,008,421.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.