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Finding the Third Proportional to 1,506,942 and 2,111,997

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Solution

The third proportional to 1,506,942 and 2,111,997 is: 2,959,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,942 : 2,111,997 = 2,111,997 : x
  2. Step 2: Convert to fraction form
    1,506,942/2,111,997 = 2,111,997/x
  3. Step 3: Cross multiply
    1,506,942x = 2,111,997 × 2,111,997
  4. Step 4: Simplify right side
    1,506,942x = 4,460,531,328,009
  5. Step 5: Solve for x
    x = 4,460,531,328,009/1,506,942
  6. Step 6: Final answer
    x = 2,959,988.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.