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Finding the Third Proportional to 684,303 and 1,000,453.50

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Solution

The third proportional to 684,303 and 1,000,453.50 is: 1,462,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,303 : 1,000,453.50 = 1,000,453.50 : x
  2. Step 2: Convert to fraction form
    684,303/1,000,453.50 = 1,000,453.50/x
  3. Step 3: Cross multiply
    684,303x = 1,000,453.50 × 1,000,453.50
  4. Step 4: Simplify right side
    684,303x = 1,000,907,205,662.25
  5. Step 5: Solve for x
    x = 1,000,907,205,662.25/684,303
  6. Step 6: Final answer
    x = 1,462,666.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.