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Finding the Third Proportional to 867,437,994 and 1,321,495,606

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Solution

The third proportional to 867,437,994 and 1,321,495,606 is: 2,013,228,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,437,994 : 1,321,495,606 = 1,321,495,606 : x
  2. Step 2: Convert to fraction form
    867,437,994/1,321,495,606 = 1,321,495,606/x
  3. Step 3: Cross multiply
    867,437,994x = 1,321,495,606 × 1,321,495,606
  4. Step 4: Simplify right side
    867,437,994x = 1,746,350,636,677,307,136
  5. Step 5: Solve for x
    x = 1,746,350,636,677,307,136/867,437,994
  6. Step 6: Final answer
    x = 2,013,228,206.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.