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Finding the Third Proportional to 970,024.50 and 1,468,465.50

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Solution

The third proportional to 970,024.50 and 1,468,465.50 is: 2,223,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,024.50 : 1,468,465.50 = 1,468,465.50 : x
  2. Step 2: Convert to fraction form
    970,024.50/1,468,465.50 = 1,468,465.50/x
  3. Step 3: Cross multiply
    970,024.50x = 1,468,465.50 × 1,468,465.50
  4. Step 4: Simplify right side
    970,024.50x = 2,156,390,924,690.25
  5. Step 5: Solve for x
    x = 2,156,390,924,690.25/970,024.50
  6. Step 6: Final answer
    x = 2,223,027.28

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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.