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Finding the Third Proportional to 867,972 and 1,878,650

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Solution

The third proportional to 867,972 and 1,878,650 is: 4,066,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,972 : 1,878,650 = 1,878,650 : x
  2. Step 2: Convert to fraction form
    867,972/1,878,650 = 1,878,650/x
  3. Step 3: Cross multiply
    867,972x = 1,878,650 × 1,878,650
  4. Step 4: Simplify right side
    867,972x = 3,529,325,822,500
  5. Step 5: Solve for x
    x = 3,529,325,822,500/867,972
  6. Step 6: Final answer
    x = 4,066,174.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.