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Finding the Third Proportional to 1,026,954 and 1,502,401.50

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Solution

The third proportional to 1,026,954 and 1,502,401.50 is: 2,197,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,954 : 1,502,401.50 = 1,502,401.50 : x
  2. Step 2: Convert to fraction form
    1,026,954/1,502,401.50 = 1,502,401.50/x
  3. Step 3: Cross multiply
    1,026,954x = 1,502,401.50 × 1,502,401.50
  4. Step 4: Simplify right side
    1,026,954x = 2,257,210,267,202.25
  5. Step 5: Solve for x
    x = 2,257,210,267,202.25/1,026,954
  6. Step 6: Final answer
    x = 2,197,966.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.