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Finding the Third Proportional to 2,103,076 and 4,575,208

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Solution

The third proportional to 2,103,076 and 4,575,208 is: 9,953,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,076 : 4,575,208 = 4,575,208 : x
  2. Step 2: Convert to fraction form
    2,103,076/4,575,208 = 4,575,208/x
  3. Step 3: Cross multiply
    2,103,076x = 4,575,208 × 4,575,208
  4. Step 4: Simplify right side
    2,103,076x = 20,932,528,243,264
  5. Step 5: Solve for x
    x = 20,932,528,243,264/2,103,076
  6. Step 6: Final answer
    x = 9,953,291.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.