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Finding the Third Proportional to 1,156,686 and 2,506,410

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Solution

The third proportional to 1,156,686 and 2,506,410 is: 5,431,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,686 : 2,506,410 = 2,506,410 : x
  2. Step 2: Convert to fraction form
    1,156,686/2,506,410 = 2,506,410/x
  3. Step 3: Cross multiply
    1,156,686x = 2,506,410 × 2,506,410
  4. Step 4: Simplify right side
    1,156,686x = 6,282,091,088,100
  5. Step 5: Solve for x
    x = 6,282,091,088,100/1,156,686
  6. Step 6: Final answer
    x = 5,431,111.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.