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Finding the Third Proportional to 1,240,932,586 and 2,658,900,236

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Solution

The third proportional to 1,240,932,586 and 2,658,900,236 is: 5,697,126,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,932,586 : 2,658,900,236 = 2,658,900,236 : x
  2. Step 2: Convert to fraction form
    1,240,932,586/2,658,900,236 = 2,658,900,236/x
  3. Step 3: Cross multiply
    1,240,932,586x = 2,658,900,236 × 2,658,900,236
  4. Step 4: Simplify right side
    1,240,932,586x = 7,069,750,465,000,855,552
  5. Step 5: Solve for x
    x = 7,069,750,465,000,855,552/1,240,932,586
  6. Step 6: Final answer
    x = 5,697,126,938.85

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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.