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Finding the Third Proportional to 738,232 and 1,563,944

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Solution

The third proportional to 738,232 and 1,563,944 is: 3,313,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,232 : 1,563,944 = 1,563,944 : x
  2. Step 2: Convert to fraction form
    738,232/1,563,944 = 1,563,944/x
  3. Step 3: Cross multiply
    738,232x = 1,563,944 × 1,563,944
  4. Step 4: Simplify right side
    738,232x = 2,445,920,835,136
  5. Step 5: Solve for x
    x = 2,445,920,835,136/738,232
  6. Step 6: Final answer
    x = 3,313,214.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.