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Finding the Third Proportional to 971,730 and 2,130,660

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Solution

The third proportional to 971,730 and 2,130,660 is: 4,671,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,730 : 2,130,660 = 2,130,660 : x
  2. Step 2: Convert to fraction form
    971,730/2,130,660 = 2,130,660/x
  3. Step 3: Cross multiply
    971,730x = 2,130,660 × 2,130,660
  4. Step 4: Simplify right side
    971,730x = 4,539,712,035,600
  5. Step 5: Solve for x
    x = 4,539,712,035,600/971,730
  6. Step 6: Final answer
    x = 4,671,783.35

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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.