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Finding the Third Proportional to 946,972.69 and 1,421,552.81

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Solution

The third proportional to 946,972.69 and 1,421,552.81 is: 2,133,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,972.69 : 1,421,552.81 = 1,421,552.81 : x
  2. Step 2: Convert to fraction form
    946,972.69/1,421,552.81 = 1,421,552.81/x
  3. Step 3: Cross multiply
    946,972.69x = 1,421,552.81 × 1,421,552.81
  4. Step 4: Simplify right side
    946,972.69x = 2,020,812,398,726.66
  5. Step 5: Solve for x
    x = 2,020,812,398,726.66/946,972.69
  6. Step 6: Final answer
    x = 2,133,971.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.