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Finding the Third Proportional to 692,232 and 1,038,348

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Solution

The third proportional to 692,232 and 1,038,348 is: 1,557,522

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,232 : 1,038,348 = 1,038,348 : x
  2. Step 2: Convert to fraction form
    692,232/1,038,348 = 1,038,348/x
  3. Step 3: Cross multiply
    692,232x = 1,038,348 × 1,038,348
  4. Step 4: Simplify right side
    692,232x = 1,078,166,569,104
  5. Step 5: Solve for x
    x = 1,078,166,569,104/692,232
  6. Step 6: Final answer
    x = 1,557,522

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.