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Finding the Third Proportional to 2,097,076 and 4,492,952

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Solution

The third proportional to 2,097,076 and 4,492,952 is: 9,626,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,076 : 4,492,952 = 4,492,952 : x
  2. Step 2: Convert to fraction form
    2,097,076/4,492,952 = 4,492,952/x
  3. Step 3: Cross multiply
    2,097,076x = 4,492,952 × 4,492,952
  4. Step 4: Simplify right side
    2,097,076x = 20,186,617,674,304
  5. Step 5: Solve for x
    x = 20,186,617,674,304/2,097,076
  6. Step 6: Final answer
    x = 9,626,078.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.