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Finding the Third Proportional to 824,987 and 1,312,730

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Solution

The third proportional to 824,987 and 1,312,730 is: 2,088,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,987 : 1,312,730 = 1,312,730 : x
  2. Step 2: Convert to fraction form
    824,987/1,312,730 = 1,312,730/x
  3. Step 3: Cross multiply
    824,987x = 1,312,730 × 1,312,730
  4. Step 4: Simplify right side
    824,987x = 1,723,260,052,900
  5. Step 5: Solve for x
    x = 1,723,260,052,900/824,987
  6. Step 6: Final answer
    x = 2,088,832.98

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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.