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Finding the Third Proportional to 924,902,982 and 1,352,626,425

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Solution

The third proportional to 924,902,982 and 1,352,626,425 is: 1,978,151,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,902,982 : 1,352,626,425 = 1,352,626,425 : x
  2. Step 2: Convert to fraction form
    924,902,982/1,352,626,425 = 1,352,626,425/x
  3. Step 3: Cross multiply
    924,902,982x = 1,352,626,425 × 1,352,626,425
  4. Step 4: Simplify right side
    924,902,982x = 1,829,598,245,608,280,576
  5. Step 5: Solve for x
    x = 1,829,598,245,608,280,576/924,902,982
  6. Step 6: Final answer
    x = 1,978,151,526.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.