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Finding the Third Proportional to 924,862,420 and 1,336,266,484

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Solution

The third proportional to 924,862,420 and 1,336,266,484 is: 1,930,674,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,862,420 : 1,336,266,484 = 1,336,266,484 : x
  2. Step 2: Convert to fraction form
    924,862,420/1,336,266,484 = 1,336,266,484/x
  3. Step 3: Cross multiply
    924,862,420x = 1,336,266,484 × 1,336,266,484
  4. Step 4: Simplify right side
    924,862,420x = 1,785,608,116,261,722,368
  5. Step 5: Solve for x
    x = 1,785,608,116,261,722,368/924,862,420
  6. Step 6: Final answer
    x = 1,930,674,311.82

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.