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Finding the Third Proportional to 692,955 and 1,036,607.63

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Solution

The third proportional to 692,955 and 1,036,607.63 is: 1,550,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,955 : 1,036,607.63 = 1,036,607.63 : x
  2. Step 2: Convert to fraction form
    692,955/1,036,607.63 = 1,036,607.63/x
  3. Step 3: Cross multiply
    692,955x = 1,036,607.63 × 1,036,607.63
  4. Step 4: Simplify right side
    692,955x = 1,074,555,368,208.14
  5. Step 5: Solve for x
    x = 1,074,555,368,208.14/692,955
  6. Step 6: Final answer
    x = 1,550,685.64

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Why These Related Problems?

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