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Finding the Third Proportional to 907,973 and 1,462,987

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Solution

The third proportional to 907,973 and 1,462,987 is: 2,357,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,973 : 1,462,987 = 1,462,987 : x
  2. Step 2: Convert to fraction form
    907,973/1,462,987 = 1,462,987/x
  3. Step 3: Cross multiply
    907,973x = 1,462,987 × 1,462,987
  4. Step 4: Simplify right side
    907,973x = 2,140,330,962,169
  5. Step 5: Solve for x
    x = 2,140,330,962,169/907,973
  6. Step 6: Final answer
    x = 2,357,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.