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Finding the Third Proportional to 986,421 and 1,514,230.50

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Solution

The third proportional to 986,421 and 1,514,230.50 is: 2,324,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,421 : 1,514,230.50 = 1,514,230.50 : x
  2. Step 2: Convert to fraction form
    986,421/1,514,230.50 = 1,514,230.50/x
  3. Step 3: Cross multiply
    986,421x = 1,514,230.50 × 1,514,230.50
  4. Step 4: Simplify right side
    986,421x = 2,292,894,007,130.25
  5. Step 5: Solve for x
    x = 2,292,894,007,130.25/986,421
  6. Step 6: Final answer
    x = 2,324,457.82

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Why These Related Problems?

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