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Finding the Third Proportional to 803,664 and 1,713,952

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Solution

The third proportional to 803,664 and 1,713,952 is: 3,655,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,664 : 1,713,952 = 1,713,952 : x
  2. Step 2: Convert to fraction form
    803,664/1,713,952 = 1,713,952/x
  3. Step 3: Cross multiply
    803,664x = 1,713,952 × 1,713,952
  4. Step 4: Simplify right side
    803,664x = 2,937,631,458,304
  5. Step 5: Solve for x
    x = 2,937,631,458,304/803,664
  6. Step 6: Final answer
    x = 3,655,298.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.