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Finding the Third Proportional to 707,458 and 1,526,952

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Solution

The third proportional to 707,458 and 1,526,952 is: 3,295,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,458 : 1,526,952 = 1,526,952 : x
  2. Step 2: Convert to fraction form
    707,458/1,526,952 = 1,526,952/x
  3. Step 3: Cross multiply
    707,458x = 1,526,952 × 1,526,952
  4. Step 4: Simplify right side
    707,458x = 2,331,582,410,304
  5. Step 5: Solve for x
    x = 2,331,582,410,304/707,458
  6. Step 6: Final answer
    x = 3,295,718.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.