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Finding the Third Proportional to 983,534 and 1,563,915

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Solution

The third proportional to 983,534 and 1,563,915 is: 2,486,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,534 : 1,563,915 = 1,563,915 : x
  2. Step 2: Convert to fraction form
    983,534/1,563,915 = 1,563,915/x
  3. Step 3: Cross multiply
    983,534x = 1,563,915 × 1,563,915
  4. Step 4: Simplify right side
    983,534x = 2,445,830,127,225
  5. Step 5: Solve for x
    x = 2,445,830,127,225/983,534
  6. Step 6: Final answer
    x = 2,486,777.40

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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.