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Finding the Third Proportional to 4,210,114.50 and 5,528,260.13

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Solution

The third proportional to 4,210,114.50 and 5,528,260.13 is: 7,259,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210,114.50 : 5,528,260.13 = 5,528,260.13 : x
  2. Step 2: Convert to fraction form
    4,210,114.50/5,528,260.13 = 5,528,260.13/x
  3. Step 3: Cross multiply
    4,210,114.50x = 5,528,260.13 × 5,528,260.13
  4. Step 4: Simplify right side
    4,210,114.50x = 30,561,660,009,665.02
  5. Step 5: Solve for x
    x = 30,561,660,009,665.02/4,210,114.50
  6. Step 6: Final answer
    x = 7,259,104.24

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.