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Finding the Third Proportional to 1,027,020 and 1,502,490

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Solution

The third proportional to 1,027,020 and 1,502,490 is: 2,198,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,020 : 1,502,490 = 1,502,490 : x
  2. Step 2: Convert to fraction form
    1,027,020/1,502,490 = 1,502,490/x
  3. Step 3: Cross multiply
    1,027,020x = 1,502,490 × 1,502,490
  4. Step 4: Simplify right side
    1,027,020x = 2,257,476,200,100
  5. Step 5: Solve for x
    x = 2,257,476,200,100/1,027,020
  6. Step 6: Final answer
    x = 2,198,083.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.