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Finding the Third Proportional to 657,624.02 and 1,536,506.51

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Solution

The third proportional to 657,624.02 and 1,536,506.51 is: 3,589,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,624.02 : 1,536,506.51 = 1,536,506.51 : x
  2. Step 2: Convert to fraction form
    657,624.02/1,536,506.51 = 1,536,506.51/x
  3. Step 3: Cross multiply
    657,624.02x = 1,536,506.51 × 1,536,506.51
  4. Step 4: Simplify right side
    657,624.02x = 2,360,852,248,550.16
  5. Step 5: Solve for x
    x = 2,360,852,248,550.16/657,624.02
  6. Step 6: Final answer
    x = 3,589,972.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.