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Finding the Third Proportional to 1,065,904 and 1,638,377

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Solution

The third proportional to 1,065,904 and 1,638,377 is: 2,518,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,904 : 1,638,377 = 1,638,377 : x
  2. Step 2: Convert to fraction form
    1,065,904/1,638,377 = 1,638,377/x
  3. Step 3: Cross multiply
    1,065,904x = 1,638,377 × 1,638,377
  4. Step 4: Simplify right side
    1,065,904x = 2,684,279,194,129
  5. Step 5: Solve for x
    x = 2,684,279,194,129/1,065,904
  6. Step 6: Final answer
    x = 2,518,312.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.