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Finding the Third Proportional to 1,468,929 and 3,114,210

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Solution

The third proportional to 1,468,929 and 3,114,210 is: 6,602,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,929 : 3,114,210 = 3,114,210 : x
  2. Step 2: Convert to fraction form
    1,468,929/3,114,210 = 3,114,210/x
  3. Step 3: Cross multiply
    1,468,929x = 3,114,210 × 3,114,210
  4. Step 4: Simplify right side
    1,468,929x = 9,698,303,924,100
  5. Step 5: Solve for x
    x = 9,698,303,924,100/1,468,929
  6. Step 6: Final answer
    x = 6,602,295.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.