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Finding the Third Proportional to 526,641 and 1,153,290

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Solution

The third proportional to 526,641 and 1,153,290 is: 2,525,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,641 : 1,153,290 = 1,153,290 : x
  2. Step 2: Convert to fraction form
    526,641/1,153,290 = 1,153,290/x
  3. Step 3: Cross multiply
    526,641x = 1,153,290 × 1,153,290
  4. Step 4: Simplify right side
    526,641x = 1,330,077,824,100
  5. Step 5: Solve for x
    x = 1,330,077,824,100/526,641
  6. Step 6: Final answer
    x = 2,525,587.31

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Why These Related Problems?

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