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Finding the Third Proportional to 540,258 and 1,164,309

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Solution

The third proportional to 540,258 and 1,164,309 is: 2,509,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,258 : 1,164,309 = 1,164,309 : x
  2. Step 2: Convert to fraction form
    540,258/1,164,309 = 1,164,309/x
  3. Step 3: Cross multiply
    540,258x = 1,164,309 × 1,164,309
  4. Step 4: Simplify right side
    540,258x = 1,355,615,447,481
  5. Step 5: Solve for x
    x = 1,355,615,447,481/540,258
  6. Step 6: Final answer
    x = 2,509,200.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.