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Finding the Third Proportional to 885,657 and 1,409,940

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Solution

The third proportional to 885,657 and 1,409,940 is: 2,244,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,657 : 1,409,940 = 1,409,940 : x
  2. Step 2: Convert to fraction form
    885,657/1,409,940 = 1,409,940/x
  3. Step 3: Cross multiply
    885,657x = 1,409,940 × 1,409,940
  4. Step 4: Simplify right side
    885,657x = 1,987,930,803,600
  5. Step 5: Solve for x
    x = 1,987,930,803,600/885,657
  6. Step 6: Final answer
    x = 2,244,583.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.