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Finding the Third Proportional to 1,569,510 and 2,221,465.50

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Solution

The third proportional to 1,569,510 and 2,221,465.50 is: 3,144,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,510 : 2,221,465.50 = 2,221,465.50 : x
  2. Step 2: Convert to fraction form
    1,569,510/2,221,465.50 = 2,221,465.50/x
  3. Step 3: Cross multiply
    1,569,510x = 2,221,465.50 × 2,221,465.50
  4. Step 4: Simplify right side
    1,569,510x = 4,934,908,967,690.25
  5. Step 5: Solve for x
    x = 4,934,908,967,690.25/1,569,510
  6. Step 6: Final answer
    x = 3,144,235.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.