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Finding the Third Proportional to 698,168,274 and 1,041,197,952

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Solution

The third proportional to 698,168,274 and 1,041,197,952 is: 1,552,767,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,168,274 : 1,041,197,952 = 1,041,197,952 : x
  2. Step 2: Convert to fraction form
    698,168,274/1,041,197,952 = 1,041,197,952/x
  3. Step 3: Cross multiply
    698,168,274x = 1,041,197,952 × 1,041,197,952
  4. Step 4: Simplify right side
    698,168,274x = 1,084,093,175,248,994,304
  5. Step 5: Solve for x
    x = 1,084,093,175,248,994,304/698,168,274
  6. Step 6: Final answer
    x = 1,552,767,743.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.