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Finding the Third Proportional to 656,835 and 989,952

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Solution

The third proportional to 656,835 and 989,952 is: 1,492,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,835 : 989,952 = 989,952 : x
  2. Step 2: Convert to fraction form
    656,835/989,952 = 989,952/x
  3. Step 3: Cross multiply
    656,835x = 989,952 × 989,952
  4. Step 4: Simplify right side
    656,835x = 980,004,962,304
  5. Step 5: Solve for x
    x = 980,004,962,304/656,835
  6. Step 6: Final answer
    x = 1,492,010.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.