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Finding the Third Proportional to 972,856 and 1,554,136

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Solution

The third proportional to 972,856 and 1,554,136 is: 2,482,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,856 : 1,554,136 = 1,554,136 : x
  2. Step 2: Convert to fraction form
    972,856/1,554,136 = 1,554,136/x
  3. Step 3: Cross multiply
    972,856x = 1,554,136 × 1,554,136
  4. Step 4: Simplify right side
    972,856x = 2,415,338,706,496
  5. Step 5: Solve for x
    x = 2,415,338,706,496/972,856
  6. Step 6: Final answer
    x = 2,482,729.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.