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Finding the Third Proportional to 562,262.63 and 1,224,357.75

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Solution

The third proportional to 562,262.63 and 1,224,357.75 is: 2,666,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,262.63 : 1,224,357.75 = 1,224,357.75 : x
  2. Step 2: Convert to fraction form
    562,262.63/1,224,357.75 = 1,224,357.75/x
  3. Step 3: Cross multiply
    562,262.63x = 1,224,357.75 × 1,224,357.75
  4. Step 4: Simplify right side
    562,262.63x = 1,499,051,899,985.06
  5. Step 5: Solve for x
    x = 1,499,051,899,985.06/562,262.63
  6. Step 6: Final answer
    x = 2,666,106.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.