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Finding the Third Proportional to 537,060,368 and 829,315,184

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Solution

The third proportional to 537,060,368 and 829,315,184 is: 1,280,607,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,060,368 : 829,315,184 = 829,315,184 : x
  2. Step 2: Convert to fraction form
    537,060,368/829,315,184 = 829,315,184/x
  3. Step 3: Cross multiply
    537,060,368x = 829,315,184 × 829,315,184
  4. Step 4: Simplify right side
    537,060,368x = 687,763,674,412,953,856
  5. Step 5: Solve for x
    x = 687,763,674,412,953,856/537,060,368
  6. Step 6: Final answer
    x = 1,280,607,759.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.