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Finding the Third Proportional to 594,112 and 927,618

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Solution

The third proportional to 594,112 and 927,618 is: 1,448,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,112 : 927,618 = 927,618 : x
  2. Step 2: Convert to fraction form
    594,112/927,618 = 927,618/x
  3. Step 3: Cross multiply
    594,112x = 927,618 × 927,618
  4. Step 4: Simplify right side
    594,112x = 860,475,153,924
  5. Step 5: Solve for x
    x = 860,475,153,924/594,112
  6. Step 6: Final answer
    x = 1,448,338.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.