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Finding the Third Proportional to 1,000,220 and 1,429,289

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Solution

The third proportional to 1,000,220 and 1,429,289 is: 2,042,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,220 : 1,429,289 = 1,429,289 : x
  2. Step 2: Convert to fraction form
    1,000,220/1,429,289 = 1,429,289/x
  3. Step 3: Cross multiply
    1,000,220x = 1,429,289 × 1,429,289
  4. Step 4: Simplify right side
    1,000,220x = 2,042,867,045,521
  5. Step 5: Solve for x
    x = 2,042,867,045,521/1,000,220
  6. Step 6: Final answer
    x = 2,042,417.71

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.