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Finding the Third Proportional to 3,243,735 and 4,672,498.50

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Solution

The third proportional to 3,243,735 and 4,672,498.50 is: 6,730,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243,735 : 4,672,498.50 = 4,672,498.50 : x
  2. Step 2: Convert to fraction form
    3,243,735/4,672,498.50 = 4,672,498.50/x
  3. Step 3: Cross multiply
    3,243,735x = 4,672,498.50 × 4,672,498.50
  4. Step 4: Simplify right side
    3,243,735x = 21,832,242,232,502.25
  5. Step 5: Solve for x
    x = 21,832,242,232,502.25/3,243,735
  6. Step 6: Final answer
    x = 6,730,587.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.