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Finding the Third Proportional to 986,632 and 1,475,984

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Solution

The third proportional to 986,632 and 1,475,984 is: 2,208,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,632 : 1,475,984 = 1,475,984 : x
  2. Step 2: Convert to fraction form
    986,632/1,475,984 = 1,475,984/x
  3. Step 3: Cross multiply
    986,632x = 1,475,984 × 1,475,984
  4. Step 4: Simplify right side
    986,632x = 2,178,528,768,256
  5. Step 5: Solve for x
    x = 2,178,528,768,256/986,632
  6. Step 6: Final answer
    x = 2,208,045.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.