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Finding the Third Proportional to 923,693 and 1,470,913

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Solution

The third proportional to 923,693 and 1,470,913 is: 2,342,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,693 : 1,470,913 = 1,470,913 : x
  2. Step 2: Convert to fraction form
    923,693/1,470,913 = 1,470,913/x
  3. Step 3: Cross multiply
    923,693x = 1,470,913 × 1,470,913
  4. Step 4: Simplify right side
    923,693x = 2,163,585,053,569
  5. Step 5: Solve for x
    x = 2,163,585,053,569/923,693
  6. Step 6: Final answer
    x = 2,342,320.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.