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Finding the Third Proportional to 914,507 and 1,286,688

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Solution

The third proportional to 914,507 and 1,286,688 is: 1,810,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,507 : 1,286,688 = 1,286,688 : x
  2. Step 2: Convert to fraction form
    914,507/1,286,688 = 1,286,688/x
  3. Step 3: Cross multiply
    914,507x = 1,286,688 × 1,286,688
  4. Step 4: Simplify right side
    914,507x = 1,655,566,009,344
  5. Step 5: Solve for x
    x = 1,655,566,009,344/914,507
  6. Step 6: Final answer
    x = 1,810,337.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.