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Finding the Third Proportional to 692,532 and 1,043,361

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Solution

The third proportional to 692,532 and 1,043,361 is: 1,571,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,532 : 1,043,361 = 1,043,361 : x
  2. Step 2: Convert to fraction form
    692,532/1,043,361 = 1,043,361/x
  3. Step 3: Cross multiply
    692,532x = 1,043,361 × 1,043,361
  4. Step 4: Simplify right side
    692,532x = 1,088,602,176,321
  5. Step 5: Solve for x
    x = 1,088,602,176,321/692,532
  6. Step 6: Final answer
    x = 1,571,916.06

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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.