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Finding the Third Proportional to 590,433.05 and 1,287,693.07

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Solution

The third proportional to 590,433.05 and 1,287,693.07 is: 2,808,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,433.05 : 1,287,693.07 = 1,287,693.07 : x
  2. Step 2: Convert to fraction form
    590,433.05/1,287,693.07 = 1,287,693.07/x
  3. Step 3: Cross multiply
    590,433.05x = 1,287,693.07 × 1,287,693.07
  4. Step 4: Simplify right side
    590,433.05x = 1,658,153,443,330.83
  5. Step 5: Solve for x
    x = 1,658,153,443,330.83/590,433.05
  6. Step 6: Final answer
    x = 2,808,368.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.