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Finding the Third Proportional to 616,618 and 968,637

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Solution

The third proportional to 616,618 and 968,637 is: 1,521,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,618 : 968,637 = 968,637 : x
  2. Step 2: Convert to fraction form
    616,618/968,637 = 968,637/x
  3. Step 3: Cross multiply
    616,618x = 968,637 × 968,637
  4. Step 4: Simplify right side
    616,618x = 938,257,637,769
  5. Step 5: Solve for x
    x = 938,257,637,769/616,618
  6. Step 6: Final answer
    x = 1,521,618.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.