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Finding the Third Proportional to 2,728,420.50 and 4,547,094.75

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Solution

The third proportional to 2,728,420.50 and 4,547,094.75 is: 7,578,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,420.50 : 4,547,094.75 = 4,547,094.75 : x
  2. Step 2: Convert to fraction form
    2,728,420.50/4,547,094.75 = 4,547,094.75/x
  3. Step 3: Cross multiply
    2,728,420.50x = 4,547,094.75 × 4,547,094.75
  4. Step 4: Simplify right side
    2,728,420.50x = 20,676,070,665,477.56
  5. Step 5: Solve for x
    x = 20,676,070,665,477.56/2,728,420.50
  6. Step 6: Final answer
    x = 7,578,036.69

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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.