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Finding the Third Proportional to 1,001,768 and 2,161,360

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Solution

The third proportional to 1,001,768 and 2,161,360 is: 4,663,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,768 : 2,161,360 = 2,161,360 : x
  2. Step 2: Convert to fraction form
    1,001,768/2,161,360 = 2,161,360/x
  3. Step 3: Cross multiply
    1,001,768x = 2,161,360 × 2,161,360
  4. Step 4: Simplify right side
    1,001,768x = 4,671,477,049,600
  5. Step 5: Solve for x
    x = 4,671,477,049,600/1,001,768
  6. Step 6: Final answer
    x = 4,663,232.45

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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.