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Finding the Third Proportional to 1,030,289 and 1,514,562

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Solution

The third proportional to 1,030,289 and 1,514,562 is: 2,226,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,289 : 1,514,562 = 1,514,562 : x
  2. Step 2: Convert to fraction form
    1,030,289/1,514,562 = 1,514,562/x
  3. Step 3: Cross multiply
    1,030,289x = 1,514,562 × 1,514,562
  4. Step 4: Simplify right side
    1,030,289x = 2,293,898,051,844
  5. Step 5: Solve for x
    x = 2,293,898,051,844/1,030,289
  6. Step 6: Final answer
    x = 2,226,460.78

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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.