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Finding the Third Proportional to 847,701 and 1,271,569.50

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Solution

The third proportional to 847,701 and 1,271,569.50 is: 1,907,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,701 : 1,271,569.50 = 1,271,569.50 : x
  2. Step 2: Convert to fraction form
    847,701/1,271,569.50 = 1,271,569.50/x
  3. Step 3: Cross multiply
    847,701x = 1,271,569.50 × 1,271,569.50
  4. Step 4: Simplify right side
    847,701x = 1,616,888,993,330.25
  5. Step 5: Solve for x
    x = 1,616,888,993,330.25/847,701
  6. Step 6: Final answer
    x = 1,907,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.