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Finding the Third Proportional to 1,005,553 and 1,406,572.50

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Solution

The third proportional to 1,005,553 and 1,406,572.50 is: 1,967,520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,553 : 1,406,572.50 = 1,406,572.50 : x
  2. Step 2: Convert to fraction form
    1,005,553/1,406,572.50 = 1,406,572.50/x
  3. Step 3: Cross multiply
    1,005,553x = 1,406,572.50 × 1,406,572.50
  4. Step 4: Simplify right side
    1,005,553x = 1,978,446,197,756.25
  5. Step 5: Solve for x
    x = 1,978,446,197,756.25/1,005,553
  6. Step 6: Final answer
    x = 1,967,520.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.