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Finding the Third Proportional to 983,580 and 1,563,984

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Solution

The third proportional to 983,580 and 1,563,984 is: 2,486,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,580 : 1,563,984 = 1,563,984 : x
  2. Step 2: Convert to fraction form
    983,580/1,563,984 = 1,563,984/x
  3. Step 3: Cross multiply
    983,580x = 1,563,984 × 1,563,984
  4. Step 4: Simplify right side
    983,580x = 2,446,045,952,256
  5. Step 5: Solve for x
    x = 2,446,045,952,256/983,580
  6. Step 6: Final answer
    x = 2,486,880.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.