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Finding the Third Proportional to 712,896,256 and 1,134,358,062

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Solution

The third proportional to 712,896,256 and 1,134,358,062 is: 1,804,986,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,896,256 : 1,134,358,062 = 1,134,358,062 : x
  2. Step 2: Convert to fraction form
    712,896,256/1,134,358,062 = 1,134,358,062/x
  3. Step 3: Cross multiply
    712,896,256x = 1,134,358,062 × 1,134,358,062
  4. Step 4: Simplify right side
    712,896,256x = 1,286,768,212,824,395,776
  5. Step 5: Solve for x
    x = 1,286,768,212,824,395,776/712,896,256
  6. Step 6: Final answer
    x = 1,804,986,633.04

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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.