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Finding the Third Proportional to 1,294,480 and 2,837,791

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Solution

The third proportional to 1,294,480 and 2,837,791 is: 6,221,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,480 : 2,837,791 = 2,837,791 : x
  2. Step 2: Convert to fraction form
    1,294,480/2,837,791 = 2,837,791/x
  3. Step 3: Cross multiply
    1,294,480x = 2,837,791 × 2,837,791
  4. Step 4: Simplify right side
    1,294,480x = 8,053,057,759,681
  5. Step 5: Solve for x
    x = 8,053,057,759,681/1,294,480
  6. Step 6: Final answer
    x = 6,221,075.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.