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Finding the Third Proportional to 647,961 and 912,070.50

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Solution

The third proportional to 647,961 and 912,070.50 is: 1,283,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,961 : 912,070.50 = 912,070.50 : x
  2. Step 2: Convert to fraction form
    647,961/912,070.50 = 912,070.50/x
  3. Step 3: Cross multiply
    647,961x = 912,070.50 × 912,070.50
  4. Step 4: Simplify right side
    647,961x = 831,872,596,970.25
  5. Step 5: Solve for x
    x = 831,872,596,970.25/647,961
  6. Step 6: Final answer
    x = 1,283,831.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.