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Finding the Third Proportional to 420,724 and 917,597

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Solution

The third proportional to 420,724 and 917,597 is: 2,001,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,724 : 917,597 = 917,597 : x
  2. Step 2: Convert to fraction form
    420,724/917,597 = 917,597/x
  3. Step 3: Cross multiply
    420,724x = 917,597 × 917,597
  4. Step 4: Simplify right side
    420,724x = 841,984,254,409
  5. Step 5: Solve for x
    x = 841,984,254,409/420,724
  6. Step 6: Final answer
    x = 2,001,274.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.