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Finding the Third Proportional to 1,688,312 and 3,689,968

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Solution

The third proportional to 1,688,312 and 3,689,968 is: 8,064,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,312 : 3,689,968 = 3,689,968 : x
  2. Step 2: Convert to fraction form
    1,688,312/3,689,968 = 3,689,968/x
  3. Step 3: Cross multiply
    1,688,312x = 3,689,968 × 3,689,968
  4. Step 4: Simplify right side
    1,688,312x = 13,615,863,841,024
  5. Step 5: Solve for x
    x = 13,615,863,841,024/1,688,312
  6. Step 6: Final answer
    x = 8,064,779.40

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