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Finding the Third Proportional to 477,547.50 and 1,046,949

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Solution

The third proportional to 477,547.50 and 1,046,949 is: 2,295,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,547.50 : 1,046,949 = 1,046,949 : x
  2. Step 2: Convert to fraction form
    477,547.50/1,046,949 = 1,046,949/x
  3. Step 3: Cross multiply
    477,547.50x = 1,046,949 × 1,046,949
  4. Step 4: Simplify right side
    477,547.50x = 1,096,102,208,601
  5. Step 5: Solve for x
    x = 1,096,102,208,601/477,547.50
  6. Step 6: Final answer
    x = 2,295,273.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.