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Finding the Third Proportional to 648,528.19 and 923,842.13

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Solution

The third proportional to 648,528.19 and 923,842.13 is: 1,316,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,528.19 : 923,842.13 = 923,842.13 : x
  2. Step 2: Convert to fraction form
    648,528.19/923,842.13 = 923,842.13/x
  3. Step 3: Cross multiply
    648,528.19x = 923,842.13 × 923,842.13
  4. Step 4: Simplify right side
    648,528.19x = 853,484,271,924.52
  5. Step 5: Solve for x
    x = 853,484,271,924.52/648,528.19
  6. Step 6: Final answer
    x = 1,316,032.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.