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Finding the Third Proportional to 3,127,117.50 and 4,663,323

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Solution

The third proportional to 3,127,117.50 and 4,663,323 is: 6,954,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127,117.50 : 4,663,323 = 4,663,323 : x
  2. Step 2: Convert to fraction form
    3,127,117.50/4,663,323 = 4,663,323/x
  3. Step 3: Cross multiply
    3,127,117.50x = 4,663,323 × 4,663,323
  4. Step 4: Simplify right side
    3,127,117.50x = 21,746,581,402,329
  5. Step 5: Solve for x
    x = 21,746,581,402,329/3,127,117.50
  6. Step 6: Final answer
    x = 6,954,193.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.