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Finding the Third Proportional to 589,618 and 1,386,037

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Solution

The third proportional to 589,618 and 1,386,037 is: 3,258,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,618 : 1,386,037 = 1,386,037 : x
  2. Step 2: Convert to fraction form
    589,618/1,386,037 = 1,386,037/x
  3. Step 3: Cross multiply
    589,618x = 1,386,037 × 1,386,037
  4. Step 4: Simplify right side
    589,618x = 1,921,098,565,369
  5. Step 5: Solve for x
    x = 1,921,098,565,369/589,618
  6. Step 6: Final answer
    x = 3,258,208.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.