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Finding the Third Proportional to 2,046,494 and 2,862,597

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Solution

The third proportional to 2,046,494 and 2,862,597 is: 4,004,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,494 : 2,862,597 = 2,862,597 : x
  2. Step 2: Convert to fraction form
    2,046,494/2,862,597 = 2,862,597/x
  3. Step 3: Cross multiply
    2,046,494x = 2,862,597 × 2,862,597
  4. Step 4: Simplify right side
    2,046,494x = 8,194,461,584,409
  5. Step 5: Solve for x
    x = 8,194,461,584,409/2,046,494
  6. Step 6: Final answer
    x = 4,004,146.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.