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Finding the Third Proportional to 917,386 and 2,072,618

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Solution

The third proportional to 917,386 and 2,072,618 is: 4,682,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,386 : 2,072,618 = 2,072,618 : x
  2. Step 2: Convert to fraction form
    917,386/2,072,618 = 2,072,618/x
  3. Step 3: Cross multiply
    917,386x = 2,072,618 × 2,072,618
  4. Step 4: Simplify right side
    917,386x = 4,295,745,373,924
  5. Step 5: Solve for x
    x = 4,295,745,373,924/917,386
  6. Step 6: Final answer
    x = 4,682,593.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.