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Finding the Third Proportional to 824,985.88 and 1,312,727.81

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Solution

The third proportional to 824,985.88 and 1,312,727.81 is: 2,088,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,985.88 : 1,312,727.81 = 1,312,727.81 : x
  2. Step 2: Convert to fraction form
    824,985.88/1,312,727.81 = 1,312,727.81/x
  3. Step 3: Cross multiply
    824,985.88x = 1,312,727.81 × 1,312,727.81
  4. Step 4: Simplify right side
    824,985.88x = 1,723,254,309,711.04
  5. Step 5: Solve for x
    x = 1,723,254,309,711.04/824,985.88
  6. Step 6: Final answer
    x = 2,088,828.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.