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Finding the Third Proportional to 1,429,818 and 2,100,946.50

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Solution

The third proportional to 1,429,818 and 2,100,946.50 is: 3,087,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,818 : 2,100,946.50 = 2,100,946.50 : x
  2. Step 2: Convert to fraction form
    1,429,818/2,100,946.50 = 2,100,946.50/x
  3. Step 3: Cross multiply
    1,429,818x = 2,100,946.50 × 2,100,946.50
  4. Step 4: Simplify right side
    1,429,818x = 4,413,976,195,862.25
  5. Step 5: Solve for x
    x = 4,413,976,195,862.25/1,429,818
  6. Step 6: Final answer
    x = 3,087,089.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.