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Finding the Third Proportional to 910,552.50 and 1,966,999.50

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Solution

The third proportional to 910,552.50 and 1,966,999.50 is: 4,249,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,552.50 : 1,966,999.50 = 1,966,999.50 : x
  2. Step 2: Convert to fraction form
    910,552.50/1,966,999.50 = 1,966,999.50/x
  3. Step 3: Cross multiply
    910,552.50x = 1,966,999.50 × 1,966,999.50
  4. Step 4: Simplify right side
    910,552.50x = 3,869,087,033,000.25
  5. Step 5: Solve for x
    x = 3,869,087,033,000.25/910,552.50
  6. Step 6: Final answer
    x = 4,249,164.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.