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Finding the Third Proportional to 540,316 and 1,164,426

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Solution

The third proportional to 540,316 and 1,164,426 is: 2,509,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,316 : 1,164,426 = 1,164,426 : x
  2. Step 2: Convert to fraction form
    540,316/1,164,426 = 1,164,426/x
  3. Step 3: Cross multiply
    540,316x = 1,164,426 × 1,164,426
  4. Step 4: Simplify right side
    540,316x = 1,355,887,909,476
  5. Step 5: Solve for x
    x = 1,355,887,909,476/540,316
  6. Step 6: Final answer
    x = 2,509,435.05

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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.