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Finding the Third Proportional to 475,386 and 1,036,068

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Solution

The third proportional to 475,386 and 1,036,068 is: 2,258,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,386 : 1,036,068 = 1,036,068 : x
  2. Step 2: Convert to fraction form
    475,386/1,036,068 = 1,036,068/x
  3. Step 3: Cross multiply
    475,386x = 1,036,068 × 1,036,068
  4. Step 4: Simplify right side
    475,386x = 1,073,436,900,624
  5. Step 5: Solve for x
    x = 1,073,436,900,624/475,386
  6. Step 6: Final answer
    x = 2,258,032.21

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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.