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Finding the Third Proportional to 684,411 and 1,065,300

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Solution

The third proportional to 684,411 and 1,065,300 is: 1,658,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,411 : 1,065,300 = 1,065,300 : x
  2. Step 2: Convert to fraction form
    684,411/1,065,300 = 1,065,300/x
  3. Step 3: Cross multiply
    684,411x = 1,065,300 × 1,065,300
  4. Step 4: Simplify right side
    684,411x = 1,134,864,090,000
  5. Step 5: Solve for x
    x = 1,134,864,090,000/684,411
  6. Step 6: Final answer
    x = 1,658,161.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.