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Finding the Third Proportional to 4,643,460 and 7,035,291

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Solution

The third proportional to 4,643,460 and 7,035,291 is: 10,659,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643,460 : 7,035,291 = 7,035,291 : x
  2. Step 2: Convert to fraction form
    4,643,460/7,035,291 = 7,035,291/x
  3. Step 3: Cross multiply
    4,643,460x = 7,035,291 × 7,035,291
  4. Step 4: Simplify right side
    4,643,460x = 49,495,319,454,681
  5. Step 5: Solve for x
    x = 49,495,319,454,681/4,643,460
  6. Step 6: Final answer
    x = 10,659,146.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.