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Finding the Third Proportional to 614,038.50 and 1,321,389

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Solution

The third proportional to 614,038.50 and 1,321,389 is: 2,843,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,038.50 : 1,321,389 = 1,321,389 : x
  2. Step 2: Convert to fraction form
    614,038.50/1,321,389 = 1,321,389/x
  3. Step 3: Cross multiply
    614,038.50x = 1,321,389 × 1,321,389
  4. Step 4: Simplify right side
    614,038.50x = 1,746,068,889,321
  5. Step 5: Solve for x
    x = 1,746,068,889,321/614,038.50
  6. Step 6: Final answer
    x = 2,843,582.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.