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Finding the Third Proportional to 680,209,757 and 1,020,137,483

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Solution

The third proportional to 680,209,757 and 1,020,137,483 is: 1,529,940,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,209,757 : 1,020,137,483 = 1,020,137,483 : x
  2. Step 2: Convert to fraction form
    680,209,757/1,020,137,483 = 1,020,137,483/x
  3. Step 3: Cross multiply
    680,209,757x = 1,020,137,483 × 1,020,137,483
  4. Step 4: Simplify right side
    680,209,757x = 1,040,680,484,221,575,296
  5. Step 5: Solve for x
    x = 1,040,680,484,221,575,296/680,209,757
  6. Step 6: Final answer
    x = 1,529,940,541.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.