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Finding the Third Proportional to 786,602 and 1,194,402

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Solution

The third proportional to 786,602 and 1,194,402 is: 1,813,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,602 : 1,194,402 = 1,194,402 : x
  2. Step 2: Convert to fraction form
    786,602/1,194,402 = 1,194,402/x
  3. Step 3: Cross multiply
    786,602x = 1,194,402 × 1,194,402
  4. Step 4: Simplify right side
    786,602x = 1,426,596,137,604
  5. Step 5: Solve for x
    x = 1,426,596,137,604/786,602
  6. Step 6: Final answer
    x = 1,813,618.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.