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Finding the Third Proportional to 614,115 and 903,618

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Solution

The third proportional to 614,115 and 903,618 is: 1,329,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,115 : 903,618 = 903,618 : x
  2. Step 2: Convert to fraction form
    614,115/903,618 = 903,618/x
  3. Step 3: Cross multiply
    614,115x = 903,618 × 903,618
  4. Step 4: Simplify right side
    614,115x = 816,525,489,924
  5. Step 5: Solve for x
    x = 816,525,489,924/614,115
  6. Step 6: Final answer
    x = 1,329,597.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.