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Finding the Third Proportional to 1,038,468.75 and 2,243,014.50

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Solution

The third proportional to 1,038,468.75 and 2,243,014.50 is: 4,844,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,468.75 : 2,243,014.50 = 2,243,014.50 : x
  2. Step 2: Convert to fraction form
    1,038,468.75/2,243,014.50 = 2,243,014.50/x
  3. Step 3: Cross multiply
    1,038,468.75x = 2,243,014.50 × 2,243,014.50
  4. Step 4: Simplify right side
    1,038,468.75x = 5,031,114,047,210.25
  5. Step 5: Solve for x
    x = 5,031,114,047,210.25/1,038,468.75
  6. Step 6: Final answer
    x = 4,844,742.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.