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Finding the Third Proportional to 841,428 and 1,811,160

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Solution

The third proportional to 841,428 and 1,811,160 is: 3,898,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,428 : 1,811,160 = 1,811,160 : x
  2. Step 2: Convert to fraction form
    841,428/1,811,160 = 1,811,160/x
  3. Step 3: Cross multiply
    841,428x = 1,811,160 × 1,811,160
  4. Step 4: Simplify right side
    841,428x = 3,280,300,545,600
  5. Step 5: Solve for x
    x = 3,280,300,545,600/841,428
  6. Step 6: Final answer
    x = 3,898,492.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.