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Finding the Third Proportional to 872,931 and 1,883,574

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Solution

The third proportional to 872,931 and 1,883,574 is: 4,064,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,931 : 1,883,574 = 1,883,574 : x
  2. Step 2: Convert to fraction form
    872,931/1,883,574 = 1,883,574/x
  3. Step 3: Cross multiply
    872,931x = 1,883,574 × 1,883,574
  4. Step 4: Simplify right side
    872,931x = 3,547,851,013,476
  5. Step 5: Solve for x
    x = 3,547,851,013,476/872,931
  6. Step 6: Final answer
    x = 4,064,297.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.