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Finding the Third Proportional to 589,618 and 935,139

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Solution

The third proportional to 589,618 and 935,139 is: 1,483,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,618 : 935,139 = 935,139 : x
  2. Step 2: Convert to fraction form
    589,618/935,139 = 935,139/x
  3. Step 3: Cross multiply
    589,618x = 935,139 × 935,139
  4. Step 4: Simplify right side
    589,618x = 874,484,949,321
  5. Step 5: Solve for x
    x = 874,484,949,321/589,618
  6. Step 6: Final answer
    x = 1,483,138.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.