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Finding the Third Proportional to 628,572 and 973,089

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Solution

The third proportional to 628,572 and 973,089 is: 1,506,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,572 : 973,089 = 973,089 : x
  2. Step 2: Convert to fraction form
    628,572/973,089 = 973,089/x
  3. Step 3: Cross multiply
    628,572x = 973,089 × 973,089
  4. Step 4: Simplify right side
    628,572x = 946,902,201,921
  5. Step 5: Solve for x
    x = 946,902,201,921/628,572
  6. Step 6: Final answer
    x = 1,506,433.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.