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Finding the Third Proportional to 908,109 and 1,926,913.50

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Solution

The third proportional to 908,109 and 1,926,913.50 is: 4,088,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,109 : 1,926,913.50 = 1,926,913.50 : x
  2. Step 2: Convert to fraction form
    908,109/1,926,913.50 = 1,926,913.50/x
  3. Step 3: Cross multiply
    908,109x = 1,926,913.50 × 1,926,913.50
  4. Step 4: Simplify right side
    908,109x = 3,712,995,636,482.25
  5. Step 5: Solve for x
    x = 3,712,995,636,482.25/908,109
  6. Step 6: Final answer
    x = 4,088,711.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.