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Finding the Third Proportional to 630,171 and 968,618

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Solution

The third proportional to 630,171 and 968,618 is: 1,488,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,171 : 968,618 = 968,618 : x
  2. Step 2: Convert to fraction form
    630,171/968,618 = 968,618/x
  3. Step 3: Cross multiply
    630,171x = 968,618 × 968,618
  4. Step 4: Simplify right side
    630,171x = 938,220,829,924
  5. Step 5: Solve for x
    x = 938,220,829,924/630,171
  6. Step 6: Final answer
    x = 1,488,835.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.