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Finding the Third Proportional to 658,368 and 1,416,618

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Solution

The third proportional to 658,368 and 1,416,618 is: 3,048,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,368 : 1,416,618 = 1,416,618 : x
  2. Step 2: Convert to fraction form
    658,368/1,416,618 = 1,416,618/x
  3. Step 3: Cross multiply
    658,368x = 1,416,618 × 1,416,618
  4. Step 4: Simplify right side
    658,368x = 2,006,806,557,924
  5. Step 5: Solve for x
    x = 2,006,806,557,924/658,368
  6. Step 6: Final answer
    x = 3,048,153.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.