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Finding the Third Proportional to 786,838 and 1,154,428

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Solution

The third proportional to 786,838 and 1,154,428 is: 1,693,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,838 : 1,154,428 = 1,154,428 : x
  2. Step 2: Convert to fraction form
    786,838/1,154,428 = 1,154,428/x
  3. Step 3: Cross multiply
    786,838x = 1,154,428 × 1,154,428
  4. Step 4: Simplify right side
    786,838x = 1,332,704,007,184
  5. Step 5: Solve for x
    x = 1,332,704,007,184/786,838
  6. Step 6: Final answer
    x = 1,693,746.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.