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Finding the Third Proportional to 414,070,056 and 886,306,050

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Solution

The third proportional to 414,070,056 and 886,306,050 is: 1,897,114,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,070,056 : 886,306,050 = 886,306,050 : x
  2. Step 2: Convert to fraction form
    414,070,056/886,306,050 = 886,306,050/x
  3. Step 3: Cross multiply
    414,070,056x = 886,306,050 × 886,306,050
  4. Step 4: Simplify right side
    414,070,056x = 785,538,414,266,602,496
  5. Step 5: Solve for x
    x = 785,538,414,266,602,496/414,070,056
  6. Step 6: Final answer
    x = 1,897,114,758.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.