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Finding the Third Proportional to 1,266,313.50 and 2,772,769.22

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Solution

The third proportional to 1,266,313.50 and 2,772,769.22 is: 6,071,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,313.50 : 2,772,769.22 = 2,772,769.22 : x
  2. Step 2: Convert to fraction form
    1,266,313.50/2,772,769.22 = 2,772,769.22/x
  3. Step 3: Cross multiply
    1,266,313.50x = 2,772,769.22 × 2,772,769.22
  4. Step 4: Simplify right side
    1,266,313.50x = 7,688,249,140,447.49
  5. Step 5: Solve for x
    x = 7,688,249,140,447.49/1,266,313.50
  6. Step 6: Final answer
    x = 6,071,363.17

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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.