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Finding the Third Proportional to 901,306 and 1,403,690

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Solution

The third proportional to 901,306 and 1,403,690 is: 2,186,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,306 : 1,403,690 = 1,403,690 : x
  2. Step 2: Convert to fraction form
    901,306/1,403,690 = 1,403,690/x
  3. Step 3: Cross multiply
    901,306x = 1,403,690 × 1,403,690
  4. Step 4: Simplify right side
    901,306x = 1,970,345,616,100
  5. Step 5: Solve for x
    x = 1,970,345,616,100/901,306
  6. Step 6: Final answer
    x = 2,186,100.63

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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.