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Finding the Third Proportional to 847,365 and 1,185,210

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Solution

The third proportional to 847,365 and 1,185,210 is: 1,657,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,365 : 1,185,210 = 1,185,210 : x
  2. Step 2: Convert to fraction form
    847,365/1,185,210 = 1,185,210/x
  3. Step 3: Cross multiply
    847,365x = 1,185,210 × 1,185,210
  4. Step 4: Simplify right side
    847,365x = 1,404,722,744,100
  5. Step 5: Solve for x
    x = 1,404,722,744,100/847,365
  6. Step 6: Final answer
    x = 1,657,754.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.