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Finding the Third Proportional to 825,125,988 and 1,237,689,144

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Solution

The third proportional to 825,125,988 and 1,237,689,144 is: 1,856,533,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,125,988 : 1,237,689,144 = 1,237,689,144 : x
  2. Step 2: Convert to fraction form
    825,125,988/1,237,689,144 = 1,237,689,144/x
  3. Step 3: Cross multiply
    825,125,988x = 1,237,689,144 × 1,237,689,144
  4. Step 4: Simplify right side
    825,125,988x = 1,531,874,417,175,452,672
  5. Step 5: Solve for x
    x = 1,531,874,417,175,452,672/825,125,988
  6. Step 6: Final answer
    x = 1,856,533,959.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.