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Finding the Third Proportional to 973,545 and 1,452,216

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Solution

The third proportional to 973,545 and 1,452,216 is: 2,166,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,545 : 1,452,216 = 1,452,216 : x
  2. Step 2: Convert to fraction form
    973,545/1,452,216 = 1,452,216/x
  3. Step 3: Cross multiply
    973,545x = 1,452,216 × 1,452,216
  4. Step 4: Simplify right side
    973,545x = 2,108,931,310,656
  5. Step 5: Solve for x
    x = 2,108,931,310,656/973,545
  6. Step 6: Final answer
    x = 2,166,239.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.