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Finding the Third Proportional to 460,924,023 and 1,013,784,747

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Solution

The third proportional to 460,924,023 and 1,013,784,747 is: 2,229,780,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,924,023 : 1,013,784,747 = 1,013,784,747 : x
  2. Step 2: Convert to fraction form
    460,924,023/1,013,784,747 = 1,013,784,747/x
  3. Step 3: Cross multiply
    460,924,023x = 1,013,784,747 × 1,013,784,747
  4. Step 4: Simplify right side
    460,924,023x = 1,027,759,513,249,853,952
  5. Step 5: Solve for x
    x = 1,027,759,513,249,853,952/460,924,023
  6. Step 6: Final answer
    x = 2,229,780,749.03

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