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Finding the Third Proportional to 712,896,254 and 1,134,358,059

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Solution

The third proportional to 712,896,254 and 1,134,358,059 is: 1,804,986,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,896,254 : 1,134,358,059 = 1,134,358,059 : x
  2. Step 2: Convert to fraction form
    712,896,254/1,134,358,059 = 1,134,358,059/x
  3. Step 3: Cross multiply
    712,896,254x = 1,134,358,059 × 1,134,358,059
  4. Step 4: Simplify right side
    712,896,254x = 1,286,768,206,018,247,424
  5. Step 5: Solve for x
    x = 1,286,768,206,018,247,424/712,896,254
  6. Step 6: Final answer
    x = 1,804,986,628.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.