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Finding the Third Proportional to 684,142 and 1,073,210

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Solution

The third proportional to 684,142 and 1,073,210 is: 1,683,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,142 : 1,073,210 = 1,073,210 : x
  2. Step 2: Convert to fraction form
    684,142/1,073,210 = 1,073,210/x
  3. Step 3: Cross multiply
    684,142x = 1,073,210 × 1,073,210
  4. Step 4: Simplify right side
    684,142x = 1,151,779,704,100
  5. Step 5: Solve for x
    x = 1,151,779,704,100/684,142
  6. Step 6: Final answer
    x = 1,683,538.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.