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Finding the Third Proportional to 1,620,972 and 3,527,346

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Solution

The third proportional to 1,620,972 and 3,527,346 is: 7,675,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620,972 : 3,527,346 = 3,527,346 : x
  2. Step 2: Convert to fraction form
    1,620,972/3,527,346 = 3,527,346/x
  3. Step 3: Cross multiply
    1,620,972x = 3,527,346 × 3,527,346
  4. Step 4: Simplify right side
    1,620,972x = 12,442,169,803,716
  5. Step 5: Solve for x
    x = 12,442,169,803,716/1,620,972
  6. Step 6: Final answer
    x = 7,675,746.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.