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Finding the Third Proportional to 979,070 and 1,496,747

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Solution

The third proportional to 979,070 and 1,496,747 is: 2,288,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,070 : 1,496,747 = 1,496,747 : x
  2. Step 2: Convert to fraction form
    979,070/1,496,747 = 1,496,747/x
  3. Step 3: Cross multiply
    979,070x = 1,496,747 × 1,496,747
  4. Step 4: Simplify right side
    979,070x = 2,240,251,582,009
  5. Step 5: Solve for x
    x = 2,240,251,582,009/979,070
  6. Step 6: Final answer
    x = 2,288,142.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.