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Finding the Third Proportional to 1,181,768 and 2,577,358

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Solution

The third proportional to 1,181,768 and 2,577,358 is: 5,621,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,768 : 2,577,358 = 2,577,358 : x
  2. Step 2: Convert to fraction form
    1,181,768/2,577,358 = 2,577,358/x
  3. Step 3: Cross multiply
    1,181,768x = 2,577,358 × 2,577,358
  4. Step 4: Simplify right side
    1,181,768x = 6,642,774,260,164
  5. Step 5: Solve for x
    x = 6,642,774,260,164/1,181,768
  6. Step 6: Final answer
    x = 5,621,047.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.