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Finding the Third Proportional to 1,971,854 and 3,174,633

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Solution

The third proportional to 1,971,854 and 3,174,633 is: 5,111,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,854 : 3,174,633 = 3,174,633 : x
  2. Step 2: Convert to fraction form
    1,971,854/3,174,633 = 3,174,633/x
  3. Step 3: Cross multiply
    1,971,854x = 3,174,633 × 3,174,633
  4. Step 4: Simplify right side
    1,971,854x = 10,078,294,684,689
  5. Step 5: Solve for x
    x = 10,078,294,684,689/1,971,854
  6. Step 6: Final answer
    x = 5,111,075.51

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.