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Finding the Third Proportional to 901,494 and 1,403,940

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Solution

The third proportional to 901,494 and 1,403,940 is: 2,186,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,494 : 1,403,940 = 1,403,940 : x
  2. Step 2: Convert to fraction form
    901,494/1,403,940 = 1,403,940/x
  3. Step 3: Cross multiply
    901,494x = 1,403,940 × 1,403,940
  4. Step 4: Simplify right side
    901,494x = 1,971,047,523,600
  5. Step 5: Solve for x
    x = 1,971,047,523,600/901,494
  6. Step 6: Final answer
    x = 2,186,423.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.