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Finding the Third Proportional to 1,262,294 and 2,705,426

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Solution

The third proportional to 1,262,294 and 2,705,426 is: 5,798,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,294 : 2,705,426 = 2,705,426 : x
  2. Step 2: Convert to fraction form
    1,262,294/2,705,426 = 2,705,426/x
  3. Step 3: Cross multiply
    1,262,294x = 2,705,426 × 2,705,426
  4. Step 4: Simplify right side
    1,262,294x = 7,319,329,841,476
  5. Step 5: Solve for x
    x = 7,319,329,841,476/1,262,294
  6. Step 6: Final answer
    x = 5,798,435.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.