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Finding the Third Proportional to 429,087 and 925,618

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Solution

The third proportional to 429,087 and 925,618 is: 1,996,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,087 : 925,618 = 925,618 : x
  2. Step 2: Convert to fraction form
    429,087/925,618 = 925,618/x
  3. Step 3: Cross multiply
    429,087x = 925,618 × 925,618
  4. Step 4: Simplify right side
    429,087x = 856,768,681,924
  5. Step 5: Solve for x
    x = 856,768,681,924/429,087
  6. Step 6: Final answer
    x = 1,996,724.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.