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Finding the Third Proportional to 917,428 and 1,946,312

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Solution

The third proportional to 917,428 and 1,946,312 is: 4,129,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,428 : 1,946,312 = 1,946,312 : x
  2. Step 2: Convert to fraction form
    917,428/1,946,312 = 1,946,312/x
  3. Step 3: Cross multiply
    917,428x = 1,946,312 × 1,946,312
  4. Step 4: Simplify right side
    917,428x = 3,788,130,401,344
  5. Step 5: Solve for x
    x = 3,788,130,401,344/917,428
  6. Step 6: Final answer
    x = 4,129,076.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.