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Finding the Third Proportional to 614,510,200 and 898,435,392

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Solution

The third proportional to 614,510,200 and 898,435,392 is: 1,313,543,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,510,200 : 898,435,392 = 898,435,392 : x
  2. Step 2: Convert to fraction form
    614,510,200/898,435,392 = 898,435,392/x
  3. Step 3: Cross multiply
    614,510,200x = 898,435,392 × 898,435,392
  4. Step 4: Simplify right side
    614,510,200x = 807,186,153,598,193,664
  5. Step 5: Solve for x
    x = 807,186,153,598,193,664/614,510,200
  6. Step 6: Final answer
    x = 1,313,543,947.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.