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Finding the Third Proportional to 1,051,115 and 1,456,088.50

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Solution

The third proportional to 1,051,115 and 1,456,088.50 is: 2,017,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,115 : 1,456,088.50 = 1,456,088.50 : x
  2. Step 2: Convert to fraction form
    1,051,115/1,456,088.50 = 1,456,088.50/x
  3. Step 3: Cross multiply
    1,051,115x = 1,456,088.50 × 1,456,088.50
  4. Step 4: Simplify right side
    1,051,115x = 2,120,193,719,832.25
  5. Step 5: Solve for x
    x = 2,120,193,719,832.25/1,051,115
  6. Step 6: Final answer
    x = 2,017,090.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.