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Finding the Third Proportional to 510,276 and 1,117,506

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Solution

The third proportional to 510,276 and 1,117,506 is: 2,447,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,276 : 1,117,506 = 1,117,506 : x
  2. Step 2: Convert to fraction form
    510,276/1,117,506 = 1,117,506/x
  3. Step 3: Cross multiply
    510,276x = 1,117,506 × 1,117,506
  4. Step 4: Simplify right side
    510,276x = 1,248,819,660,036
  5. Step 5: Solve for x
    x = 1,248,819,660,036/510,276
  6. Step 6: Final answer
    x = 2,447,341.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.