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Finding the Third Proportional to 974,331 and 1,403,480

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Solution

The third proportional to 974,331 and 1,403,480 is: 2,021,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,331 : 1,403,480 = 1,403,480 : x
  2. Step 2: Convert to fraction form
    974,331/1,403,480 = 1,403,480/x
  3. Step 3: Cross multiply
    974,331x = 1,403,480 × 1,403,480
  4. Step 4: Simplify right side
    974,331x = 1,969,756,110,400
  5. Step 5: Solve for x
    x = 1,969,756,110,400/974,331
  6. Step 6: Final answer
    x = 2,021,649.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.