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Finding the Third Proportional to 410,998 and 900,566

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Solution

The third proportional to 410,998 and 900,566 is: 1,973,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,998 : 900,566 = 900,566 : x
  2. Step 2: Convert to fraction form
    410,998/900,566 = 900,566/x
  3. Step 3: Cross multiply
    410,998x = 900,566 × 900,566
  4. Step 4: Simplify right side
    410,998x = 811,019,120,356
  5. Step 5: Solve for x
    x = 811,019,120,356/410,998
  6. Step 6: Final answer
    x = 1,973,292.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.