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Finding the Third Proportional to 628,540 and 973,046

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Solution

The third proportional to 628,540 and 973,046 is: 1,506,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,540 : 973,046 = 973,046 : x
  2. Step 2: Convert to fraction form
    628,540/973,046 = 973,046/x
  3. Step 3: Cross multiply
    628,540x = 973,046 × 973,046
  4. Step 4: Simplify right side
    628,540x = 946,818,518,116
  5. Step 5: Solve for x
    x = 946,818,518,116/628,540
  6. Step 6: Final answer
    x = 1,506,377.51

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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.