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Finding the Third Proportional to 1,496,547.75 and 2,282,187

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Solution

The third proportional to 1,496,547.75 and 2,282,187 is: 3,480,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,547.75 : 2,282,187 = 2,282,187 : x
  2. Step 2: Convert to fraction form
    1,496,547.75/2,282,187 = 2,282,187/x
  3. Step 3: Cross multiply
    1,496,547.75x = 2,282,187 × 2,282,187
  4. Step 4: Simplify right side
    1,496,547.75x = 5,208,377,502,969
  5. Step 5: Solve for x
    x = 5,208,377,502,969/1,496,547.75
  6. Step 6: Final answer
    x = 3,480,261.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.