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Finding the Third Proportional to 3,430,038 and 4,703,341.50

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Solution

The third proportional to 3,430,038 and 4,703,341.50 is: 6,449,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,038 : 4,703,341.50 = 4,703,341.50 : x
  2. Step 2: Convert to fraction form
    3,430,038/4,703,341.50 = 4,703,341.50/x
  3. Step 3: Cross multiply
    3,430,038x = 4,703,341.50 × 4,703,341.50
  4. Step 4: Simplify right side
    3,430,038x = 22,121,421,265,622.25
  5. Step 5: Solve for x
    x = 22,121,421,265,622.25/3,430,038
  6. Step 6: Final answer
    x = 6,449,322.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.