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Finding the Third Proportional to 562,484,516 and 895,062,140

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Solution

The third proportional to 562,484,516 and 895,062,140 is: 1,424,281,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,484,516 : 895,062,140 = 895,062,140 : x
  2. Step 2: Convert to fraction form
    562,484,516/895,062,140 = 895,062,140/x
  3. Step 3: Cross multiply
    562,484,516x = 895,062,140 × 895,062,140
  4. Step 4: Simplify right side
    562,484,516x = 801,136,234,461,379,584
  5. Step 5: Solve for x
    x = 801,136,234,461,379,584/562,484,516
  6. Step 6: Final answer
    x = 1,424,281,400.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.