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Finding the Third Proportional to 5,788,688 and 8,509,596

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Solution

The third proportional to 5,788,688 and 8,509,596 is: 12,509,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788,688 : 8,509,596 = 8,509,596 : x
  2. Step 2: Convert to fraction form
    5,788,688/8,509,596 = 8,509,596/x
  3. Step 3: Cross multiply
    5,788,688x = 8,509,596 × 8,509,596
  4. Step 4: Simplify right side
    5,788,688x = 72,413,224,083,216
  5. Step 5: Solve for x
    x = 72,413,224,083,216/5,788,688
  6. Step 6: Final answer
    x = 12,509,436.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.