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Finding the Third Proportional to 398,500,548 and 822,466,596

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Solution

The third proportional to 398,500,548 and 822,466,596 is: 1,697,491,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,500,548 : 822,466,596 = 822,466,596 : x
  2. Step 2: Convert to fraction form
    398,500,548/822,466,596 = 822,466,596/x
  3. Step 3: Cross multiply
    398,500,548x = 822,466,596 × 822,466,596
  4. Step 4: Simplify right side
    398,500,548x = 676,451,301,535,827,200
  5. Step 5: Solve for x
    x = 676,451,301,535,827,200/398,500,548
  6. Step 6: Final answer
    x = 1,697,491,521.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.