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Finding the Third Proportional to 973,072 and 2,137,952

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Solution

The third proportional to 973,072 and 2,137,952 is: 4,697,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,072 : 2,137,952 = 2,137,952 : x
  2. Step 2: Convert to fraction form
    973,072/2,137,952 = 2,137,952/x
  3. Step 3: Cross multiply
    973,072x = 2,137,952 × 2,137,952
  4. Step 4: Simplify right side
    973,072x = 4,570,838,754,304
  5. Step 5: Solve for x
    x = 4,570,838,754,304/973,072
  6. Step 6: Final answer
    x = 4,697,328.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.