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Finding the Third Proportional to 716,028,234 and 1,069,632,582

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Solution

The third proportional to 716,028,234 and 1,069,632,582 is: 1,597,861,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,028,234 : 1,069,632,582 = 1,069,632,582 : x
  2. Step 2: Convert to fraction form
    716,028,234/1,069,632,582 = 1,069,632,582/x
  3. Step 3: Cross multiply
    716,028,234x = 1,069,632,582 × 1,069,632,582
  4. Step 4: Simplify right side
    716,028,234x = 1,144,113,860,475,986,688
  5. Step 5: Solve for x
    x = 1,144,113,860,475,986,688/716,028,234
  6. Step 6: Final answer
    x = 1,597,861,377.73

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