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Finding the Third Proportional to 892,506,714 and 1,928,423,760

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Solution

The third proportional to 892,506,714 and 1,928,423,760 is: 4,166,711,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,506,714 : 1,928,423,760 = 1,928,423,760 : x
  2. Step 2: Convert to fraction form
    892,506,714/1,928,423,760 = 1,928,423,760/x
  3. Step 3: Cross multiply
    892,506,714x = 1,928,423,760 × 1,928,423,760
  4. Step 4: Simplify right side
    892,506,714x = 3,718,818,198,132,537,344
  5. Step 5: Solve for x
    x = 3,718,818,198,132,537,344/892,506,714
  6. Step 6: Final answer
    x = 4,166,711,734.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.