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Finding the Third Proportional to 3,029,658 and 6,574,332

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Solution

The third proportional to 3,029,658 and 6,574,332 is: 14,266,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,658 : 6,574,332 = 6,574,332 : x
  2. Step 2: Convert to fraction form
    3,029,658/6,574,332 = 6,574,332/x
  3. Step 3: Cross multiply
    3,029,658x = 6,574,332 × 6,574,332
  4. Step 4: Simplify right side
    3,029,658x = 43,221,841,246,224
  5. Step 5: Solve for x
    x = 43,221,841,246,224/3,029,658
  6. Step 6: Final answer
    x = 14,266,244.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.