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Finding the Third Proportional to 1,030,138 and 1,514,376

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Solution

The third proportional to 1,030,138 and 1,514,376 is: 2,226,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,138 : 1,514,376 = 1,514,376 : x
  2. Step 2: Convert to fraction form
    1,030,138/1,514,376 = 1,514,376/x
  3. Step 3: Cross multiply
    1,030,138x = 1,514,376 × 1,514,376
  4. Step 4: Simplify right side
    1,030,138x = 2,293,334,669,376
  5. Step 5: Solve for x
    x = 2,293,334,669,376/1,030,138
  6. Step 6: Final answer
    x = 2,226,240.24

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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.