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Finding the Third Proportional to 798,485.34 and 1,207,253.11

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Solution

The third proportional to 798,485.34 and 1,207,253.11 is: 1,825,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,485.34 : 1,207,253.11 = 1,207,253.11 : x
  2. Step 2: Convert to fraction form
    798,485.34/1,207,253.11 = 1,207,253.11/x
  3. Step 3: Cross multiply
    798,485.34x = 1,207,253.11 × 1,207,253.11
  4. Step 4: Simplify right side
    798,485.34x = 1,457,460,070,095.61
  5. Step 5: Solve for x
    x = 1,457,460,070,095.61/798,485.34
  6. Step 6: Final answer
    x = 1,825,280.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.