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Finding the Third Proportional to 1,205,316 and 1,636,960.50

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Solution

The third proportional to 1,205,316 and 1,636,960.50 is: 2,223,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,316 : 1,636,960.50 = 1,636,960.50 : x
  2. Step 2: Convert to fraction form
    1,205,316/1,636,960.50 = 1,636,960.50/x
  3. Step 3: Cross multiply
    1,205,316x = 1,636,960.50 × 1,636,960.50
  4. Step 4: Simplify right side
    1,205,316x = 2,679,639,678,560.25
  5. Step 5: Solve for x
    x = 2,679,639,678,560.25/1,205,316
  6. Step 6: Final answer
    x = 2,223,184.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.