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Finding the Third Proportional to 691,580,065 and 1,062,351,572

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Solution

The third proportional to 691,580,065 and 1,062,351,572 is: 1,631,901,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,580,065 : 1,062,351,572 = 1,062,351,572 : x
  2. Step 2: Convert to fraction form
    691,580,065/1,062,351,572 = 1,062,351,572/x
  3. Step 3: Cross multiply
    691,580,065x = 1,062,351,572 × 1,062,351,572
  4. Step 4: Simplify right side
    691,580,065x = 1,128,590,862,530,871,168
  5. Step 5: Solve for x
    x = 1,128,590,862,530,871,168/691,580,065
  6. Step 6: Final answer
    x = 1,631,901,958.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.