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Finding the Third Proportional to 526,643 and 1,153,294

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Solution

The third proportional to 526,643 and 1,153,294 is: 2,525,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,643 : 1,153,294 = 1,153,294 : x
  2. Step 2: Convert to fraction form
    526,643/1,153,294 = 1,153,294/x
  3. Step 3: Cross multiply
    526,643x = 1,153,294 × 1,153,294
  4. Step 4: Simplify right side
    526,643x = 1,330,087,050,436
  5. Step 5: Solve for x
    x = 1,330,087,050,436/526,643
  6. Step 6: Final answer
    x = 2,525,595.23

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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.