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Finding the Third Proportional to 1,010,664 and 1,478,377

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Solution

The third proportional to 1,010,664 and 1,478,377 is: 2,162,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,664 : 1,478,377 = 1,478,377 : x
  2. Step 2: Convert to fraction form
    1,010,664/1,478,377 = 1,478,377/x
  3. Step 3: Cross multiply
    1,010,664x = 1,478,377 × 1,478,377
  4. Step 4: Simplify right side
    1,010,664x = 2,185,598,554,129
  5. Step 5: Solve for x
    x = 2,185,598,554,129/1,010,664
  6. Step 6: Final answer
    x = 2,162,537.26

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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.