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Finding the Third Proportional to 509,912,307 and 1,127,009,592

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Solution

The third proportional to 509,912,307 and 1,127,009,592 is: 2,490,919,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,912,307 : 1,127,009,592 = 1,127,009,592 : x
  2. Step 2: Convert to fraction form
    509,912,307/1,127,009,592 = 1,127,009,592/x
  3. Step 3: Cross multiply
    509,912,307x = 1,127,009,592 × 1,127,009,592
  4. Step 4: Simplify right side
    509,912,307x = 1,270,150,620,460,006,400
  5. Step 5: Solve for x
    x = 1,270,150,620,460,006,400/509,912,307
  6. Step 6: Final answer
    x = 2,490,919,718.99

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.