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Finding the Third Proportional to 670,098 and 1,036,253

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Solution

The third proportional to 670,098 and 1,036,253 is: 1,602,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,098 : 1,036,253 = 1,036,253 : x
  2. Step 2: Convert to fraction form
    670,098/1,036,253 = 1,036,253/x
  3. Step 3: Cross multiply
    670,098x = 1,036,253 × 1,036,253
  4. Step 4: Simplify right side
    670,098x = 1,073,820,280,009
  5. Step 5: Solve for x
    x = 1,073,820,280,009/670,098
  6. Step 6: Final answer
    x = 1,602,482.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.