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Finding the Third Proportional to 1,030,142 and 1,514,382

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Solution

The third proportional to 1,030,142 and 1,514,382 is: 2,226,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,142 : 1,514,382 = 1,514,382 : x
  2. Step 2: Convert to fraction form
    1,030,142/1,514,382 = 1,514,382/x
  3. Step 3: Cross multiply
    1,030,142x = 1,514,382 × 1,514,382
  4. Step 4: Simplify right side
    1,030,142x = 2,293,352,841,924
  5. Step 5: Solve for x
    x = 2,293,352,841,924/1,030,142
  6. Step 6: Final answer
    x = 2,226,249.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.