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Finding the Third Proportional to 1,069,216.50 and 1,413,312

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Solution

The third proportional to 1,069,216.50 and 1,413,312 is: 1,868,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,216.50 : 1,413,312 = 1,413,312 : x
  2. Step 2: Convert to fraction form
    1,069,216.50/1,413,312 = 1,413,312/x
  3. Step 3: Cross multiply
    1,069,216.50x = 1,413,312 × 1,413,312
  4. Step 4: Simplify right side
    1,069,216.50x = 1,997,450,809,344
  5. Step 5: Solve for x
    x = 1,997,450,809,344/1,069,216.50
  6. Step 6: Final answer
    x = 1,868,144.39

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.