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Finding the Third Proportional to 1,048,490.25 and 2,249,908.50

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Solution

The third proportional to 1,048,490.25 and 2,249,908.50 is: 4,827,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,490.25 : 2,249,908.50 = 2,249,908.50 : x
  2. Step 2: Convert to fraction form
    1,048,490.25/2,249,908.50 = 2,249,908.50/x
  3. Step 3: Cross multiply
    1,048,490.25x = 2,249,908.50 × 2,249,908.50
  4. Step 4: Simplify right side
    1,048,490.25x = 5,062,088,258,372.25
  5. Step 5: Solve for x
    x = 5,062,088,258,372.25/1,048,490.25
  6. Step 6: Final answer
    x = 4,827,978.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.