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Finding the Third Proportional to 970,004 and 1,468,434

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Solution

The third proportional to 970,004 and 1,468,434 is: 2,222,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,004 : 1,468,434 = 1,468,434 : x
  2. Step 2: Convert to fraction form
    970,004/1,468,434 = 1,468,434/x
  3. Step 3: Cross multiply
    970,004x = 1,468,434 × 1,468,434
  4. Step 4: Simplify right side
    970,004x = 2,156,298,412,356
  5. Step 5: Solve for x
    x = 2,156,298,412,356/970,004
  6. Step 6: Final answer
    x = 2,222,978.89

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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.