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Finding the Third Proportional to 716,028,210 and 1,069,632,553

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Solution

The third proportional to 716,028,210 and 1,069,632,553 is: 1,597,861,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,028,210 : 1,069,632,553 = 1,069,632,553 : x
  2. Step 2: Convert to fraction form
    716,028,210/1,069,632,553 = 1,069,632,553/x
  3. Step 3: Cross multiply
    716,028,210x = 1,069,632,553 × 1,069,632,553
  4. Step 4: Simplify right side
    716,028,210x = 1,144,113,798,437,297,792
  5. Step 5: Solve for x
    x = 1,144,113,798,437,297,792/716,028,210
  6. Step 6: Final answer
    x = 1,597,861,344.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.