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Finding the Third Proportional to 824,907.38 and 1,207,828.13

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Solution

The third proportional to 824,907.38 and 1,207,828.13 is: 1,768,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,907.38 : 1,207,828.13 = 1,207,828.13 : x
  2. Step 2: Convert to fraction form
    824,907.38/1,207,828.13 = 1,207,828.13/x
  3. Step 3: Cross multiply
    824,907.38x = 1,207,828.13 × 1,207,828.13
  4. Step 4: Simplify right side
    824,907.38x = 1,458,848,779,541.02
  5. Step 5: Solve for x
    x = 1,458,848,779,541.02/824,907.38
  6. Step 6: Final answer
    x = 1,768,500.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.