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Finding the Third Proportional to 2,728,422 and 4,547,097

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Solution

The third proportional to 2,728,422 and 4,547,097 is: 7,578,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,422 : 4,547,097 = 4,547,097 : x
  2. Step 2: Convert to fraction form
    2,728,422/4,547,097 = 4,547,097/x
  3. Step 3: Cross multiply
    2,728,422x = 4,547,097 × 4,547,097
  4. Step 4: Simplify right side
    2,728,422x = 20,676,091,127,409
  5. Step 5: Solve for x
    x = 20,676,091,127,409/2,728,422
  6. Step 6: Final answer
    x = 7,578,040.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.