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Finding the Third Proportional to 506,402 and 1,109,428

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Solution

The third proportional to 506,402 and 1,109,428 is: 2,430,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,402 : 1,109,428 = 1,109,428 : x
  2. Step 2: Convert to fraction form
    506,402/1,109,428 = 1,109,428/x
  3. Step 3: Cross multiply
    506,402x = 1,109,428 × 1,109,428
  4. Step 4: Simplify right side
    506,402x = 1,230,830,487,184
  5. Step 5: Solve for x
    x = 1,230,830,487,184/506,402
  6. Step 6: Final answer
    x = 2,430,540.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.