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Finding the Third Proportional to 540,297 and 1,175,730

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Solution

The third proportional to 540,297 and 1,175,730 is: 2,558,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,297 : 1,175,730 = 1,175,730 : x
  2. Step 2: Convert to fraction form
    540,297/1,175,730 = 1,175,730/x
  3. Step 3: Cross multiply
    540,297x = 1,175,730 × 1,175,730
  4. Step 4: Simplify right side
    540,297x = 1,382,341,032,900
  5. Step 5: Solve for x
    x = 1,382,341,032,900/540,297
  6. Step 6: Final answer
    x = 2,558,483.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.