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Finding the Third Proportional to 608,747 and 816,618

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Solution

The third proportional to 608,747 and 816,618 is: 1,095,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,747 : 816,618 = 816,618 : x
  2. Step 2: Convert to fraction form
    608,747/816,618 = 816,618/x
  3. Step 3: Cross multiply
    608,747x = 816,618 × 816,618
  4. Step 4: Simplify right side
    608,747x = 666,864,957,924
  5. Step 5: Solve for x
    x = 666,864,957,924/608,747
  6. Step 6: Final answer
    x = 1,095,471.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.