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Finding the Third Proportional to 720,833 and 1,038,337

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Solution

The third proportional to 720,833 and 1,038,337 is: 1,495,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,833 : 1,038,337 = 1,038,337 : x
  2. Step 2: Convert to fraction form
    720,833/1,038,337 = 1,038,337/x
  3. Step 3: Cross multiply
    720,833x = 1,038,337 × 1,038,337
  4. Step 4: Simplify right side
    720,833x = 1,078,143,725,569
  5. Step 5: Solve for x
    x = 1,078,143,725,569/720,833
  6. Step 6: Final answer
    x = 1,495,691.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.