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Finding the Third Proportional to 628,541 and 973,047

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Solution

The third proportional to 628,541 and 973,047 is: 1,506,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,541 : 973,047 = 973,047 : x
  2. Step 2: Convert to fraction form
    628,541/973,047 = 973,047/x
  3. Step 3: Cross multiply
    628,541x = 973,047 × 973,047
  4. Step 4: Simplify right side
    628,541x = 946,820,464,209
  5. Step 5: Solve for x
    x = 946,820,464,209/628,541
  6. Step 6: Final answer
    x = 1,506,378.21

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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.