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Finding the Third Proportional to 1,075,872 and 1,461,924

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Solution

The third proportional to 1,075,872 and 1,461,924 is: 1,986,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,872 : 1,461,924 = 1,461,924 : x
  2. Step 2: Convert to fraction form
    1,075,872/1,461,924 = 1,461,924/x
  3. Step 3: Cross multiply
    1,075,872x = 1,461,924 × 1,461,924
  4. Step 4: Simplify right side
    1,075,872x = 2,137,221,781,776
  5. Step 5: Solve for x
    x = 2,137,221,781,776/1,075,872
  6. Step 6: Final answer
    x = 1,986,501.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.