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Finding the Third Proportional to 3,242,424.94 and 4,973,534.16

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Solution

The third proportional to 3,242,424.94 and 4,973,534.16 is: 7,628,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242,424.94 : 4,973,534.16 = 4,973,534.16 : x
  2. Step 2: Convert to fraction form
    3,242,424.94/4,973,534.16 = 4,973,534.16/x
  3. Step 3: Cross multiply
    3,242,424.94x = 4,973,534.16 × 4,973,534.16
  4. Step 4: Simplify right side
    3,242,424.94x = 24,736,042,003,385.40
  5. Step 5: Solve for x
    x = 24,736,042,003,385.40/3,242,424.94
  6. Step 6: Final answer
    x = 7,628,871.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.