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Finding the Third Proportional to 915,784.69 and 1,346,238.19

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Solution

The third proportional to 915,784.69 and 1,346,238.19 is: 1,979,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,784.69 : 1,346,238.19 = 1,346,238.19 : x
  2. Step 2: Convert to fraction form
    915,784.69/1,346,238.19 = 1,346,238.19/x
  3. Step 3: Cross multiply
    915,784.69x = 1,346,238.19 × 1,346,238.19
  4. Step 4: Simplify right side
    915,784.69x = 1,812,357,257,483.29
  5. Step 5: Solve for x
    x = 1,812,357,257,483.29/915,784.69
  6. Step 6: Final answer
    x = 1,979,021.14

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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.