Finding the Third Proportional to 1,070,980 and 1,427,814
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Solution
The third proportional to 1,070,980 and 1,427,814 is: 1,903,539.58
Step by Step Solution
- Step 1: Write the proportion equation
1,070,980 : 1,427,814 = 1,427,814 : x - Step 2: Convert to fraction form
1,070,980/1,427,814 = 1,427,814/x - Step 3: Cross multiply
1,070,980x = 1,427,814 × 1,427,814 - Step 4: Simplify right side
1,070,980x = 2,038,652,818,596 - Step 5: Solve for x
x = 2,038,652,818,596/1,070,980 - Step 6: Final answer
x = 1,903,539.58
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.