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Finding the Third Proportional to 448,802 and 972,362

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Solution

The third proportional to 448,802 and 972,362 is: 2,106,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,802 : 972,362 = 972,362 : x
  2. Step 2: Convert to fraction form
    448,802/972,362 = 972,362/x
  3. Step 3: Cross multiply
    448,802x = 972,362 × 972,362
  4. Step 4: Simplify right side
    448,802x = 945,487,859,044
  5. Step 5: Solve for x
    x = 945,487,859,044/448,802
  6. Step 6: Final answer
    x = 2,106,692.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.