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Finding the Third Proportional to 920,346 and 1,968,636

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Solution

The third proportional to 920,346 and 1,968,636 is: 4,210,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,346 : 1,968,636 = 1,968,636 : x
  2. Step 2: Convert to fraction form
    920,346/1,968,636 = 1,968,636/x
  3. Step 3: Cross multiply
    920,346x = 1,968,636 × 1,968,636
  4. Step 4: Simplify right side
    920,346x = 3,875,527,700,496
  5. Step 5: Solve for x
    x = 3,875,527,700,496/920,346
  6. Step 6: Final answer
    x = 4,210,946.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.