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Finding the Third Proportional to 1,243,712.25 and 2,636,887.50

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Solution

The third proportional to 1,243,712.25 and 2,636,887.50 is: 5,590,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,712.25 : 2,636,887.50 = 2,636,887.50 : x
  2. Step 2: Convert to fraction form
    1,243,712.25/2,636,887.50 = 2,636,887.50/x
  3. Step 3: Cross multiply
    1,243,712.25x = 2,636,887.50 × 2,636,887.50
  4. Step 4: Simplify right side
    1,243,712.25x = 6,953,175,687,656.25
  5. Step 5: Solve for x
    x = 6,953,175,687,656.25/1,243,712.25
  6. Step 6: Final answer
    x = 5,590,662.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.