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Finding the Third Proportional to 970,039 and 1,468,478

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Solution

The third proportional to 970,039 and 1,468,478 is: 2,223,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,039 : 1,468,478 = 1,468,478 : x
  2. Step 2: Convert to fraction form
    970,039/1,468,478 = 1,468,478/x
  3. Step 3: Cross multiply
    970,039x = 1,468,478 × 1,468,478
  4. Step 4: Simplify right side
    970,039x = 2,156,427,636,484
  5. Step 5: Solve for x
    x = 2,156,427,636,484/970,039
  6. Step 6: Final answer
    x = 2,223,031.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.