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Finding the Third Proportional to 414,070,058 and 886,306,054

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Solution

The third proportional to 414,070,058 and 886,306,054 is: 1,897,114,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,070,058 : 886,306,054 = 886,306,054 : x
  2. Step 2: Convert to fraction form
    414,070,058/886,306,054 = 886,306,054/x
  3. Step 3: Cross multiply
    414,070,058x = 886,306,054 × 886,306,054
  4. Step 4: Simplify right side
    414,070,058x = 785,538,421,357,050,880
  5. Step 5: Solve for x
    x = 785,538,421,357,050,880/414,070,058
  6. Step 6: Final answer
    x = 1,897,114,766.40

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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.