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Finding the Third Proportional to 972,266 and 1,400,488

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Solution

The third proportional to 972,266 and 1,400,488 is: 2,017,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,266 : 1,400,488 = 1,400,488 : x
  2. Step 2: Convert to fraction form
    972,266/1,400,488 = 1,400,488/x
  3. Step 3: Cross multiply
    972,266x = 1,400,488 × 1,400,488
  4. Step 4: Simplify right side
    972,266x = 1,961,366,638,144
  5. Step 5: Solve for x
    x = 1,961,366,638,144/972,266
  6. Step 6: Final answer
    x = 2,017,314.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.