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Finding the Third Proportional to 435,125,520 and 674,746,362

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Solution

The third proportional to 435,125,520 and 674,746,362 is: 1,046,324,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,125,520 : 674,746,362 = 674,746,362 : x
  2. Step 2: Convert to fraction form
    435,125,520/674,746,362 = 674,746,362/x
  3. Step 3: Cross multiply
    435,125,520x = 674,746,362 × 674,746,362
  4. Step 4: Simplify right side
    435,125,520x = 455,282,653,032,235,072
  5. Step 5: Solve for x
    x = 455,282,653,032,235,072/435,125,520
  6. Step 6: Final answer
    x = 1,046,324,869.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.