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Finding the Third Proportional to 340,017,254 and 720,895,135

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Solution

The third proportional to 340,017,254 and 720,895,135 is: 1,528,421,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,017,254 : 720,895,135 = 720,895,135 : x
  2. Step 2: Convert to fraction form
    340,017,254/720,895,135 = 720,895,135/x
  3. Step 3: Cross multiply
    340,017,254x = 720,895,135 × 720,895,135
  4. Step 4: Simplify right side
    340,017,254x = 519,689,795,666,668,224
  5. Step 5: Solve for x
    x = 519,689,795,666,668,224/340,017,254
  6. Step 6: Final answer
    x = 1,528,421,836.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.