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Finding the Third Proportional to 849,548 and 1,286,660.50

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Solution

The third proportional to 849,548 and 1,286,660.50 is: 1,948,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,548 : 1,286,660.50 = 1,286,660.50 : x
  2. Step 2: Convert to fraction form
    849,548/1,286,660.50 = 1,286,660.50/x
  3. Step 3: Cross multiply
    849,548x = 1,286,660.50 × 1,286,660.50
  4. Step 4: Simplify right side
    849,548x = 1,655,495,242,260.25
  5. Step 5: Solve for x
    x = 1,655,495,242,260.25/849,548
  6. Step 6: Final answer
    x = 1,948,677.70

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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.