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Finding the Third Proportional to 1,547,605.50 and 2,064,025.50

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Solution

The third proportional to 1,547,605.50 and 2,064,025.50 is: 2,752,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,605.50 : 2,064,025.50 = 2,064,025.50 : x
  2. Step 2: Convert to fraction form
    1,547,605.50/2,064,025.50 = 2,064,025.50/x
  3. Step 3: Cross multiply
    1,547,605.50x = 2,064,025.50 × 2,064,025.50
  4. Step 4: Simplify right side
    1,547,605.50x = 4,260,201,264,650.25
  5. Step 5: Solve for x
    x = 4,260,201,264,650.25/1,547,605.50
  6. Step 6: Final answer
    x = 2,752,769.53

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.