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Finding the Third Proportional to 849,557 and 1,286,677

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Solution

The third proportional to 849,557 and 1,286,677 is: 1,948,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,557 : 1,286,677 = 1,286,677 : x
  2. Step 2: Convert to fraction form
    849,557/1,286,677 = 1,286,677/x
  3. Step 3: Cross multiply
    849,557x = 1,286,677 × 1,286,677
  4. Step 4: Simplify right side
    849,557x = 1,655,537,702,329
  5. Step 5: Solve for x
    x = 1,655,537,702,329/849,557
  6. Step 6: Final answer
    x = 1,948,707.03

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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.