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Finding the Third Proportional to 686,618 and 1,005,347

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Solution

The third proportional to 686,618 and 1,005,347 is: 1,472,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,618 : 1,005,347 = 1,005,347 : x
  2. Step 2: Convert to fraction form
    686,618/1,005,347 = 1,005,347/x
  3. Step 3: Cross multiply
    686,618x = 1,005,347 × 1,005,347
  4. Step 4: Simplify right side
    686,618x = 1,010,722,590,409
  5. Step 5: Solve for x
    x = 1,010,722,590,409/686,618
  6. Step 6: Final answer
    x = 1,472,030.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.