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Finding the Third Proportional to 963,264 and 1,500,044

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Solution

The third proportional to 963,264 and 1,500,044 is: 2,335,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,264 : 1,500,044 = 1,500,044 : x
  2. Step 2: Convert to fraction form
    963,264/1,500,044 = 1,500,044/x
  3. Step 3: Cross multiply
    963,264x = 1,500,044 × 1,500,044
  4. Step 4: Simplify right side
    963,264x = 2,250,132,001,936
  5. Step 5: Solve for x
    x = 2,250,132,001,936/963,264
  6. Step 6: Final answer
    x = 2,335,945.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.