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Finding the Third Proportional to 460,924,011 and 1,013,784,718

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Solution

The third proportional to 460,924,011 and 1,013,784,718 is: 2,229,780,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,924,011 : 1,013,784,718 = 1,013,784,718 : x
  2. Step 2: Convert to fraction form
    460,924,011/1,013,784,718 = 1,013,784,718/x
  3. Step 3: Cross multiply
    460,924,011x = 1,013,784,718 × 1,013,784,718
  4. Step 4: Simplify right side
    460,924,011x = 1,027,759,454,450,339,584
  5. Step 5: Solve for x
    x = 1,027,759,454,450,339,584/460,924,011
  6. Step 6: Final answer
    x = 2,229,780,679.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.