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Finding the Third Proportional to 692,218 and 1,012,047

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Solution

The third proportional to 692,218 and 1,012,047 is: 1,479,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,218 : 1,012,047 = 1,012,047 : x
  2. Step 2: Convert to fraction form
    692,218/1,012,047 = 1,012,047/x
  3. Step 3: Cross multiply
    692,218x = 1,012,047 × 1,012,047
  4. Step 4: Simplify right side
    692,218x = 1,024,239,130,209
  5. Step 5: Solve for x
    x = 1,024,239,130,209/692,218
  6. Step 6: Final answer
    x = 1,479,648.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.