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Finding the Third Proportional to 1,430,345 and 3,031,276

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Solution

The third proportional to 1,430,345 and 3,031,276 is: 6,424,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,345 : 3,031,276 = 3,031,276 : x
  2. Step 2: Convert to fraction form
    1,430,345/3,031,276 = 3,031,276/x
  3. Step 3: Cross multiply
    1,430,345x = 3,031,276 × 3,031,276
  4. Step 4: Simplify right side
    1,430,345x = 9,188,634,188,176
  5. Step 5: Solve for x
    x = 9,188,634,188,176/1,430,345
  6. Step 6: Final answer
    x = 6,424,068.45

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Why These Related Problems?

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