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Finding the Third Proportional to 906,289,123.50 and 1,399,468,927.50

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Solution

The third proportional to 906,289,123.50 and 1,399,468,927.50 is: 2,161,024,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,289,123.50 : 1,399,468,927.50 = 1,399,468,927.50 : x
  2. Step 2: Convert to fraction form
    906,289,123.50/1,399,468,927.50 = 1,399,468,927.50/x
  3. Step 3: Cross multiply
    906,289,123.50x = 1,399,468,927.50 × 1,399,468,927.50
  4. Step 4: Simplify right side
    906,289,123.50x = 1,958,513,279,038,000,384
  5. Step 5: Solve for x
    x = 1,958,513,279,038,000,384/906,289,123.50
  6. Step 6: Final answer
    x = 2,161,024,807.93

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