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Finding the Third Proportional to 756,658,963 and 1,065,078,240

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Solution

The third proportional to 756,658,963 and 1,065,078,240 is: 1,499,211,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,658,963 : 1,065,078,240 = 1,065,078,240 : x
  2. Step 2: Convert to fraction form
    756,658,963/1,065,078,240 = 1,065,078,240/x
  3. Step 3: Cross multiply
    756,658,963x = 1,065,078,240 × 1,065,078,240
  4. Step 4: Simplify right side
    756,658,963x = 1,134,391,657,321,497,600
  5. Step 5: Solve for x
    x = 1,134,391,657,321,497,600/756,658,963
  6. Step 6: Final answer
    x = 1,499,211,286.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.