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Finding the Third Proportional to 849,487 and 1,286,585

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Solution

The third proportional to 849,487 and 1,286,585 is: 1,948,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,487 : 1,286,585 = 1,286,585 : x
  2. Step 2: Convert to fraction form
    849,487/1,286,585 = 1,286,585/x
  3. Step 3: Cross multiply
    849,487x = 1,286,585 × 1,286,585
  4. Step 4: Simplify right side
    849,487x = 1,655,300,962,225
  5. Step 5: Solve for x
    x = 1,655,300,962,225/849,487
  6. Step 6: Final answer
    x = 1,948,588.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.