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Finding the Third Proportional to 518,547 and 1,125,618

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Solution

The third proportional to 518,547 and 1,125,618 is: 2,443,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,547 : 1,125,618 = 1,125,618 : x
  2. Step 2: Convert to fraction form
    518,547/1,125,618 = 1,125,618/x
  3. Step 3: Cross multiply
    518,547x = 1,125,618 × 1,125,618
  4. Step 4: Simplify right side
    518,547x = 1,267,015,881,924
  5. Step 5: Solve for x
    x = 1,267,015,881,924/518,547
  6. Step 6: Final answer
    x = 2,443,396.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.