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Finding the Third Proportional to 690,368,983 and 1,509,875,670

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Solution

The third proportional to 690,368,983 and 1,509,875,670 is: 3,302,182,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,368,983 : 1,509,875,670 = 1,509,875,670 : x
  2. Step 2: Convert to fraction form
    690,368,983/1,509,875,670 = 1,509,875,670/x
  3. Step 3: Cross multiply
    690,368,983x = 1,509,875,670 × 1,509,875,670
  4. Step 4: Simplify right side
    690,368,983x = 2,279,724,538,857,948,928
  5. Step 5: Solve for x
    x = 2,279,724,538,857,948,928/690,368,983
  6. Step 6: Final answer
    x = 3,302,182,738.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.