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Finding the Third Proportional to 802,927.69 and 1,182,210.19

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Solution

The third proportional to 802,927.69 and 1,182,210.19 is: 1,740,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,927.69 : 1,182,210.19 = 1,182,210.19 : x
  2. Step 2: Convert to fraction form
    802,927.69/1,182,210.19 = 1,182,210.19/x
  3. Step 3: Cross multiply
    802,927.69x = 1,182,210.19 × 1,182,210.19
  4. Step 4: Simplify right side
    802,927.69x = 1,397,620,927,428.79
  5. Step 5: Solve for x
    x = 1,397,620,927,428.79/802,927.69
  6. Step 6: Final answer
    x = 1,740,656.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.