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Finding the Third Proportional to 895,214 and 1,831,792

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Solution

The third proportional to 895,214 and 1,831,792 is: 3,748,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,214 : 1,831,792 = 1,831,792 : x
  2. Step 2: Convert to fraction form
    895,214/1,831,792 = 1,831,792/x
  3. Step 3: Cross multiply
    895,214x = 1,831,792 × 1,831,792
  4. Step 4: Simplify right side
    895,214x = 3,355,461,931,264
  5. Step 5: Solve for x
    x = 3,355,461,931,264/895,214
  6. Step 6: Final answer
    x = 3,748,223.25

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.