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Finding the Third Proportional to 896,590,968 and 1,406,359,228

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Solution

The third proportional to 896,590,968 and 1,406,359,228 is: 2,205,962,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,590,968 : 1,406,359,228 = 1,406,359,228 : x
  2. Step 2: Convert to fraction form
    896,590,968/1,406,359,228 = 1,406,359,228/x
  3. Step 3: Cross multiply
    896,590,968x = 1,406,359,228 × 1,406,359,228
  4. Step 4: Simplify right side
    896,590,968x = 1,977,846,278,180,755,968
  5. Step 5: Solve for x
    x = 1,977,846,278,180,755,968/896,590,968
  6. Step 6: Final answer
    x = 2,205,962,750.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.