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Finding the Third Proportional to 499,306 and 1,068,596

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Solution

The third proportional to 499,306 and 1,068,596 is: 2,286,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,306 : 1,068,596 = 1,068,596 : x
  2. Step 2: Convert to fraction form
    499,306/1,068,596 = 1,068,596/x
  3. Step 3: Cross multiply
    499,306x = 1,068,596 × 1,068,596
  4. Step 4: Simplify right side
    499,306x = 1,141,897,411,216
  5. Step 5: Solve for x
    x = 1,141,897,411,216/499,306
  6. Step 6: Final answer
    x = 2,286,969.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.